#include "constantes_gpu.h"

const unsigned int PosNoeudsVariable[] ={
/* msg =      0, deg =  7 */    793,   2942,   3453,   8535,   9170,   9414,   9949, 
/* msg =      1, deg =  7 */   1511,   1932,   3370,   8527,   9186,   9376,   9581, 
/* msg =      2, deg =  7 */    264,   2675,   4934,   8812,   9198,   9592,   9602, 
/* msg =      3, deg =  7 */   1482,   2435,   3901,   8310,   9301,   9353,   9534, 
/* msg =      4, deg =  7 */   1246,   2446,   4706,   8684,   9336,   9873,   9960, 
/* msg =      5, deg =  7 */   1361,   1745,   3912,   8933,   9344,   9682,   9946, 
/* msg =      6, deg =  7 */    679,   2985,   4237,   8373,   9147,   9739,   9938, 
/* msg =      7, deg =  7 */    128,   2276,   3531,   8511,   9348,   9611,   9633, 
/* msg =      8, deg =  7 */    956,   1668,   4329,   8327,   9141,   9201,   9896, 
/* msg =      9, deg =  7 */    636,   2116,   3776,   8758,   9339,   9776,   9922, 
/* msg =     10, deg =  7 */    553,   2273,   4133,   9108,   9307,   9525,   9801, 
/* msg =     11, deg =  7 */     44,   3214,   3836,   9003,   9507,   9533,   9698, 
/* msg =     12, deg =  7 */    797,   3093,   4489,   8687,   9537,   9861,   9913, 
/* msg =     13, deg =  7 */    517,   3186,   4964,   8599,   9345,   9568,   9909, 
/* msg =     14, deg =  7 */    945,   2961,   3558,   8645,   9411,   9535,   9548, 
/* msg =     15, deg =  7 */   1536,   1780,   3414,   9101,   9306,   9517,   9727, 
/* msg =     16, deg =  7 */   1022,   3159,   3956,   8431,   9273,   9619,   9657, 
/* msg =     17, deg =  7 */    407,   1964,   3632,   9002,   9386,   9492,   9825, 
/* msg =     18, deg =  7 */   1168,   1786,   3577,   9129,   9597,   9869,   9900, 
/* msg =     19, deg =  7 */    725,   2081,   4748,   8910,   9361,   9523,   9642, 
/* msg =     20, deg =  7 */    375,   3055,   3500,   8635,   9270,   9721,   9923, 
/* msg =     21, deg =  7 */    819,   2065,   3626,   8491,   9658,   9750,   9785, 
/* msg =     22, deg =  7 */    399,   3048,   3726,   8559,   9326,   9874,   9905, 
/* msg =     23, deg =  7 */    820,   2005,   4640,   8540,   9529,   9819,   9890, 
/* msg =     24, deg =  7 */   1037,   3222,   4148,   8967,   9219,   9747,   9929, 
/* msg =     25, deg =  7 */    606,   2863,   3902,   8602,   9440,   9470,   9864, 
/* msg =     26, deg =  7 */    584,   2879,   4216,   8917,   9409,   9564,   9621, 
/* msg =     27, deg =  7 */   1353,   3248,   3854,   8335,   9453,   9543,   9806, 
/* msg =     28, deg =  7 */    354,   2242,   4167,   9064,   9493,   9737,   9769, 
/* msg =     29, deg =  7 */    215,   2296,   4381,   8658,   9229,   9299,   9430, 
/* msg =     30, deg =  7 */    294,   2471,   3439,   9084,   9447,   9472,   9913, 
/* msg =     31, deg =  7 */    729,   2452,   3704,   9072,   9551,   9683,   9840, 
/* msg =     32, deg =  7 */   1055,   2806,   3698,   8741,   9605,   9917,   9930, 
/* msg =     33, deg =  7 */   1375,   2268,   4264,   8671,   9195,   9757,   9926, 
/* msg =     34, deg =  7 */    455,   1709,   4895,   9067,   9350,   9600,   9839, 
/* msg =     35, deg =  7 */    875,   2010,   4579,   8523,   9522,   9647,   9951, 
/* msg =     36, deg =  7 */    216,   2006,   4725,   8823,   9259,   9430,   9694, 
/* msg =     37, deg =  7 */    784,   1832,   4595,   8814,   9145,   9840,   9881, 
/* msg =     38, deg =  7 */    678,   2880,   4690,   8773,   9271,   9566,   9826, 
/* msg =     39, deg =  7 */   1163,   2797,   4662,   8650,   9338,   9884,   9897, 
/* msg =     40, deg =  7 */     97,   3161,   4704,   8760,   9468,   9494,   9795, 
/* msg =     41, deg =  7 */   1434,   2007,   3555,   9083,   9258,   9447,   9464, 
/* msg =     42, deg =  7 */    122,   1987,   4482,   8474,   9554,   9609,   9872, 
/* msg =     43, deg =  7 */   1231,   2913,   4897,   9007,   9190,   9195,   9548, 
/* msg =     44, deg =  7 */    802,   1909,   3851,   9117,   9199,   9505,   9562, 
/* msg =     45, deg =  7 */    699,   2443,   3668,   9119,   9224,   9883,   9956, 
/* msg =     46, deg =  7 */    676,   2672,   3614,   8901,   9177,   9360,   9819, 
/* msg =     47, deg =  7 */    627,   2694,   4623,   8695,   9153,   9261,   9412, 
/* msg =     48, deg =  7 */   1535,   2873,   3881,   8646,   9289,   9461,   9885, 
/* msg =     49, deg =  7 */   1486,   2414,   3738,   8691,   9315,   9434,   9691, 
/* msg =     50, deg =  7 */   1524,   2257,   3937,   8525,   9192,   9465,   9943, 
/* msg =     51, deg =  7 */   1282,   2352,   4358,   8677,   9808,   9869,   9919, 
/* msg =     52, deg =  7 */    253,   2743,   4006,   8516,   9172,   9398,   9484, 
/* msg =     53, deg =  7 */    529,   2720,   3787,   8445,   9563,   9718,   9918, 
/* msg =     54, deg =  7 */   1094,   1692,   4985,   8564,   9215,   9353,   9952, 
/* msg =     55, deg =  7 */   1414,   2024,   3954,   8890,   9257,   9318,   9374, 
/* msg =     56, deg =  7 */    915,   3041,   4439,   8953,   9294,   9451,   9602, 
/* msg =     57, deg =  7 */    163,   2147,   4562,   8802,   9228,   9563,   9902, 
/* msg =     58, deg =  7 */    103,   1951,   4681,   8748,   9338,   9404,   9675, 
/* msg =     59, deg =  7 */   1657,   2849,   3641,   9087,   9145,   9483,   9653, 
/* msg =     60, deg =  7 */     70,   2653,   4215,   8888,   9147,   9493,   9504, 
/* msg =     61, deg =  7 */    603,   2178,   4040,   8622,   9497,   9821,   9841, 
/* msg =     62, deg =  7 */   1360,   1829,   4599,   8847,   9358,   9652,   9838, 
/* msg =     63, deg =  7 */    154,   2136,   3466,   8403,   9559,   9702,   9825, 
/* msg =     64, deg =  7 */   1553,   3125,   4487,   8915,   9676,   9847,   9920, 
/* msg =     65, deg =  7 */    985,   2306,   3840,   8326,   9643,   9755,   9971, 
/* msg =     66, deg =  7 */    889,   2752,   3904,   8374,   9287,   9384,   9833, 
/* msg =     67, deg =  7 */    220,   1761,   3510,   9132,   9467,   9509,   9841, 
/* msg =     68, deg =  7 */    152,   2368,   4245,   9050,   9204,   9247,   9668, 
/* msg =     69, deg =  7 */   1554,   3200,   3991,   8572,   9497,   9524,   9616, 
/* msg =     70, deg =  7 */   1201,   1744,   3767,   8869,   9308,   9398,   9536, 
/* msg =     71, deg =  7 */   1178,   3263,   4603,   8753,   9207,   9500,   9884, 
/* msg =     72, deg =  7 */   1046,   3202,   4826,   8929,   9310,   9782,   9833, 
/* msg =     73, deg =  7 */   1066,   3209,   4359,   8484,   9469,   9748,   9898, 
/* msg =     74, deg =  7 */    984,   1856,   4379,   8975,   9229,   9445,   9665, 
/* msg =     75, deg =  7 */    948,   2303,   3381,   8655,   9168,   9489,   9793, 
/* msg =     76, deg =  7 */   1602,   2102,   4450,   9043,   9363,   9660,   9817, 
/* msg =     77, deg =  7 */   1540,   2231,   3907,   8844,   9628,   9773,   9965, 
/* msg =     78, deg =  7 */   1322,   2335,   3436,   9017,   9384,   9818,   9862, 
/* msg =     79, deg =  7 */    876,   3003,   3741,   8864,   9612,   9674,   9681, 
/* msg =     80, deg =  7 */   1620,   2617,   4462,   8766,   9268,   9614,   9696, 
/* msg =     81, deg =  7 */    765,   2960,   3515,   8389,   9194,   9433,   9870, 
/* msg =     82, deg =  7 */   1651,   3139,   4104,   8808,   9480,   9800,   9818, 
/* msg =     83, deg =  7 */   1026,   2404,   4416,   8437,   9406,   9858,   9957, 
/* msg =     84, deg =  7 */   1050,   3278,   4402,   9063,   9212,   9638,   9732, 
/* msg =     85, deg =  7 */    315,   3315,   4156,   8587,   9274,   9644,   9714, 
/* msg =     86, deg =  7 */   1288,   2434,   4507,   8515,   9177,   9183,   9756, 
/* msg =     87, deg =  7 */   1519,   2877,   3686,   8359,   9341,   9883,   9900, 
/* msg =     88, deg =  7 */    198,   2187,   4272,   8815,   9420,   9591,   9836, 
/* msg =     89, deg =  7 */   1522,   3070,   4219,   8494,   9444,   9599,   9709, 
/* msg =     90, deg =  7 */   1404,   1674,   3395,   8649,   9197,   9697,   9712, 
/* msg =     91, deg =  7 */   1223,   1724,   4163,   8898,   9221,   9415,   9638, 
/* msg =     92, deg =  7 */    970,   2744,   4525,   8624,   9508,   9623,   9782, 
/* msg =     93, deg =  7 */    549,   2194,   3528,   8723,   9324,   9436,   9951, 
/* msg =     94, deg =  7 */   1337,   2592,   4385,   9012,   9245,   9425,   9451, 
/* msg =     95, deg =  7 */    378,   2989,   3983,   8424,   9188,   9265,   9567, 
/* msg =     96, deg =  7 */    164,   2228,   3707,   8473,   9261,   9694,   9763, 
/* msg =     97, deg =  7 */    467,   1874,   4836,   8945,   9252,   9525,   9906, 
/* msg =     98, deg =  7 */   1072,   1805,   4391,   8472,   9331,   9418,   9516, 
/* msg =     99, deg =  7 */   1008,   2070,   4961,   8533,   9166,   9188,   9477, 
/* msg =    100, deg =  7 */    456,   3027,   3697,   8810,   9538,   9658,   9681, 
/* msg =    101, deg =  7 */      0,   2551,   3336,   8416,   9702,   9705,   9761, 
/* msg =    102, deg =  7 */    379,   3267,   3722,   9014,   9202,   9498,   9873, 
/* msg =    103, deg =  7 */    403,   1697,   4086,   8338,   9260,   9428,   9944, 
/* msg =    104, deg =  7 */    904,   1869,   4161,   8685,   9394,   9608,   9690, 
/* msg =    105, deg =  7 */    983,   1824,   3786,   8762,   9330,   9706,   9794, 
/* msg =    106, deg =  7 */    713,   2901,   3964,   8747,   9348,   9418,   9693, 
/* msg =    107, deg =  7 */   1255,   2564,   3941,   8722,   9728,   9816,   9820, 
/* msg =    108, deg =  7 */      5,   3310,   3360,   8806,   9555,   9750,   9819, 
/* msg =    109, deg =  7 */    564,   2128,   3758,   8857,   9287,   9295,   9473, 
/* msg =    110, deg =  7 */    256,   1797,   4460,   9058,   9320,   9382,   9444, 
/* msg =    111, deg =  7 */    867,   3298,   3739,   8818,   9278,   9703,   9867, 
/* msg =    112, deg =  7 */    782,   2871,   3830,   8366,   9153,   9545,   9553, 
/* msg =    113, deg =  7 */   1432,   2419,   3656,   8801,   9388,   9390,   9592, 
/* msg =    114, deg =  7 */     51,   2887,   4667,   8371,   9479,   9557,   9740, 
/* msg =    115, deg =  7 */   1006,   3268,   4577,   9088,   9234,   9514,   9654, 
/* msg =    116, deg =  7 */     36,   2048,   4023,   8749,   9272,   9639,   9751, 
/* msg =    117, deg =  7 */   1431,   2680,   3324,   9025,   9401,   9924,   9929, 
/* msg =    118, deg =  7 */    230,   2679,   4094,   8452,   9181,   9190,   9292, 
/* msg =    119, deg =  7 */   1085,   2539,   4021,   8930,   9587,   9863,   9927, 
/* msg =    120, deg =  7 */    712,   3005,   3327,   8542,   9371,   9704,   9715, 
/* msg =    121, deg =  7 */    692,   3102,   4099,   8949,   9471,   9601,   9886, 
/* msg =    122, deg =  7 */    531,   2462,   4143,   8825,   9296,   9596,   9784, 
/* msg =    123, deg =  7 */   1385,   3017,   3599,   8733,   9149,   9225,   9648, 
/* msg =    124, deg =  7 */     91,   2041,   3488,   8479,   9391,   9419,   9432, 
/* msg =    125, deg =  7 */   1252,   2943,   4573,   8721,   9232,   9813,   9856, 
/* msg =    126, deg =  7 */    938,   2823,   3824,   8957,   9684,   9776,   9830, 
/* msg =    127, deg =  7 */    292,   2159,   4685,   8656,   9191,   9242,   9279, 
/* msg =    128, deg =  7 */    675,   2896,   4687,   8383,   9221,   9513,   9608, 
/* msg =    129, deg =  7 */    309,   1784,   3628,   8367,   9531,   9833,   9953, 
/* msg =    130, deg =  7 */   1074,   2225,   4512,   8943,   9355,   9370,   9665, 
/* msg =    131, deg =  7 */   1531,   2525,   4688,   8318,   9371,   9452,   9714, 
/* msg =    132, deg =  7 */     85,   2571,   4919,   8480,   9162,   9211,   9233, 
/* msg =    133, deg =  7 */    110,   3238,   3419,   8784,   9148,   9526,   9731, 
/* msg =    134, deg =  7 */    794,   1997,   4298,   8738,   9199,   9417,   9533, 
/* msg =    135, deg =  7 */    909,   2977,   4317,   8450,   9417,   9859,   9964, 
/* msg =    136, deg =  7 */    577,   2360,   4109,   8534,   9416,   9853,   9858, 
/* msg =    137, deg =  7 */    788,   3247,   4092,   8718,   9228,   9663,   9805, 
/* msg =    138, deg =  7 */    686,   2355,   4107,   8889,   9704,   9726,   9805, 
/* msg =    139, deg =  7 */   1327,   1740,   3705,   8974,   9152,   9226,   9357, 
/* msg =    140, deg =  7 */   1199,   1673,   3973,   8991,   9184,   9635,   9851, 
/* msg =    141, deg =  7 */   1148,   2425,   3356,   8609,   9271,   9325,   9431, 
/* msg =    142, deg =  7 */    923,   2695,   4267,   8538,   9494,   9510,   9678, 
/* msg =    143, deg =  7 */   1545,   2265,   3737,   8392,   9166,   9193,   9454, 
/* msg =    144, deg =  7 */   1128,   2204,   3733,   8651,   9226,   9434,   9499, 
/* msg =    145, deg =  7 */    625,   1833,   3403,   8724,   9347,   9803,   9945, 
/* msg =    146, deg =  7 */    597,   1794,   3945,   8800,   9208,   9571,   9591, 
/* msg =    147, deg =  7 */   1437,   1822,   4824,   8779,   9661,   9808,   9812, 
/* msg =    148, deg =  7 */   1016,   2654,   3410,   8368,   9254,   9259,   9797, 
/* msg =    149, deg =  7 */   1476,   2519,   4234,   8506,   9205,   9486,   9487, 
/* msg =    150, deg =  7 */    866,   2468,   4877,   8514,   9434,   9610,   9746, 
/* msg =    151, deg =  7 */    524,   2096,   4285,   9022,   9216,   9262,   9829, 
/* msg =    152, deg =  7 */   1173,   1774,   4339,   9069,   9202,   9395,   9765, 
/* msg =    153, deg =  7 */   1018,   2328,   4315,   8868,   9245,   9487,   9949, 
/* msg =    154, deg =  7 */    484,   2141,   4637,   8420,   9404,   9620,   9734, 
/* msg =    155, deg =  7 */    605,   2545,   4356,   9001,   9237,   9342,   9874, 
/* msg =    156, deg =  7 */   1592,   2486,   4547,   8643,   9255,   9614,   9716, 
/* msg =    157, deg =  7 */    479,   3092,   4480,   8729,   9151,   9427,   9613, 
/* msg =    158, deg =  7 */   1061,   3142,   3784,   8904,   9301,   9302,   9312, 
/* msg =    159, deg =  7 */    463,   2616,   4679,   8325,   9541,   9777,   9811, 
/* msg =    160, deg =  7 */    602,   2623,   4621,   8313,   9342,   9460,   9640, 
/* msg =    161, deg =  7 */   1518,   1706,   4206,   8627,   9654,   9663,   9928, 
/* msg =    162, deg =  7 */   1306,   3022,   3792,   9057,   9386,   9429,   9836, 
/* msg =    163, deg =  7 */   1204,   2086,   4825,   8881,   9658,   9820,   9953, 
/* msg =    164, deg =  7 */    368,   3057,   4306,   8356,   9495,   9586,   9963, 
/* msg =    165, deg =  7 */   1564,   2687,   4116,   8771,   9185,   9297,   9568, 
/* msg =    166, deg =  7 */    964,   1685,   4869,   8482,   9618,   9775,   9960, 
/* msg =    167, deg =  7 */   1426,   2609,   3553,   8554,   9674,   9792,   9937, 
/* msg =    168, deg =  7 */    769,   1957,   4893,   8790,   9146,   9570,   9628, 
/* msg =    169, deg =  7 */   1343,   2696,   4755,   8711,   9262,   9546,   9605, 
/* msg =    170, deg =  7 */     17,   2175,   3742,   8468,   9517,   9621,   9668, 
/* msg =    171, deg =  7 */    999,   2289,   3813,   8459,   9654,   9736,   9868, 
/* msg =    172, deg =  7 */    528,   2832,   4539,   8584,   9357,   9604,   9726, 
/* msg =    173, deg =  7 */    116,   3118,   4030,   8843,   9160,   9256,   9423, 
/* msg =    174, deg =  7 */    438,   1669,   4397,   8893,   9261,   9791,   9967, 
/* msg =    175, deg =  7 */    497,   2842,   4928,   8634,   9143,   9271,   9327, 
/* msg =    176, deg =  7 */   1048,   2031,   3361,   8466,   9244,   9393,   9499, 
/* msg =    177, deg =  7 */    226,   2909,   4302,   8853,   9542,   9593,   9968, 
/* msg =    178, deg =  7 */    415,   1994,   3959,   8574,   9362,   9576,   9757, 
/* msg =    179, deg =  7 */   1051,   3283,   4614,   8785,   9251,   9278,   9577, 
/* msg =    180, deg =  7 */    336,   2955,   4522,   8553,   9218,   9530,   9644, 
/* msg =    181, deg =  7 */   1330,   2890,   3803,   8987,   9520,   9823,   9879, 
/* msg =    182, deg =  7 */   1345,   2458,   4431,   8928,   9294,   9606,   9739, 
/* msg =    183, deg =  7 */   1383,   2881,   4555,   8944,   9224,   9681,   9832, 
/* msg =    184, deg =  7 */    898,   3015,   3567,   8689,   9688,   9727,   9892, 
/* msg =    185, deg =  7 */    809,   2473,   3897,   8601,   9400,   9648,   9788, 
/* msg =    186, deg =  7 */    400,   2113,   4438,   9140,   9244,   9366,   9946, 
/* msg =    187, deg =  7 */     18,   1892,   4763,   8391,   9231,   9828,   9925, 
/* msg =    188, deg =  7 */    175,   2256,   4308,   8477,   9151,   9374,   9786, 
/* msg =    189, deg =  7 */   1381,   2177,   3997,   9068,   9252,   9482,   9811, 
/* msg =    190, deg =  7 */   1160,   2209,   3972,   8502,   9406,   9779,   9862, 
/* msg =    191, deg =  7 */    478,   2482,   3874,   8966,   9227,   9699,   9769, 
/* msg =    192, deg =  7 */    776,   2334,   4057,   8549,   9238,   9443,   9742, 
/* msg =    193, deg =  7 */    719,   1995,   4837,   8911,   9439,   9863,   9941, 
/* msg =    194, deg =  7 */    191,   1891,   3712,   8688,   9313,   9860,   9926, 
/* msg =    195, deg =  7 */    274,   2597,   4459,   9038,   9303,   9325,   9632, 
/* msg =    196, deg =  7 */    394,   2148,   3545,   8501,   9266,   9310,   9461, 
/* msg =    197, deg =  7 */   1039,   2490,   4752,   8409,   9175,   9285,   9459, 
/* msg =    198, deg =  7 */   1097,   2925,   3447,   8462,   9405,   9416,   9684, 
/* msg =    199, deg =  7 */    832,   2661,   3406,   8567,   9368,   9666,   9680, 
/* msg =    200, deg =  7 */   1096,   2988,   4858,   8461,   9161,   9209,   9448, 
/* msg =    201, deg =  7 */    857,   1753,   4444,   8799,   9218,   9279,   9383, 
/* msg =    202, deg =  7 */    808,   1758,   3659,   8353,   9444,   9649,   9650, 
/* msg =    203, deg =  7 */    990,   3116,   4528,   8984,   9401,   9502,   9760, 
/* msg =    204, deg =  7 */   1247,   1678,   3394,   9096,   9373,   9650,   9872, 
/* msg =    205, deg =  7 */    258,   1978,   4778,   8547,   9265,   9732,   9893, 
/* msg =    206, deg =  7 */    653,   1886,   4613,   8811,   9320,   9870,   9893, 
/* msg =    207, deg =  7 */   1303,   2882,   4564,   9118,   9482,   9493,   9593, 
/* msg =    208, deg =  7 */   1548,   2314,   3743,   8320,   9180,   9626,   9889, 
/* msg =    209, deg =  7 */    870,   2586,   3820,   8348,   9397,   9420,   9919, 
/* msg =    210, deg =  7 */    843,   2344,   3920,   8396,   9458,   9646,   9920, 
/* msg =    211, deg =  7 */    817,   1986,   4291,   8402,   9237,   9598,   9728, 
/* msg =    212, deg =  7 */    306,   3031,   4044,   8920,   9280,   9779,   9793, 
/* msg =    213, deg =  7 */   1034,   3098,   3853,   8518,   9246,   9319,   9853, 
/* msg =    214, deg =  7 */   1617,   1865,   3681,   8731,   9474,   9631,   9878, 
/* msg =    215, deg =  7 */   1118,   3297,   4120,   8734,   9232,   9337,   9955, 
/* msg =    216, deg =  7 */   1500,   2562,   3826,   8865,   9524,   9809,   9897, 
/* msg =    217, deg =  7 */    516,   3224,   3701,   8988,   9141,   9354,   9556, 
/* msg =    218, deg =  7 */    641,   2622,   3980,   8990,   9759,   9895,   9921, 
/* msg =    219, deg =  7 */     45,   2885,   4035,   8323,   9355,   9514,   9670, 
/* msg =    220, deg =  7 */    522,   2507,   4750,   8856,   9377,   9463,   9513, 
/* msg =    221, deg =  7 */   1109,   2185,   4110,   8435,   9293,   9589,   9592, 
/* msg =    222, deg =  7 */   1542,   1733,   3883,   8499,   9545,   9711,   9832, 
/* msg =    223, deg =  7 */    476,   1933,   4534,   8508,   9287,   9440,   9885, 
/* msg =    224, deg =  7 */   1612,   1734,   4341,   8385,   9266,   9456,   9781, 
/* msg =    225, deg =  7 */    746,   2801,   3985,   8924,   9589,   9831,   9953, 
/* msg =    226, deg =  7 */    131,   2566,   4923,   8497,   9606,   9691,   9858, 
/* msg =    227, deg =  7 */    432,   2996,   3949,   8378,   9252,   9733,   9747, 
/* msg =    228, deg =  7 */   1355,   2615,   3432,   8742,   9562,   9626,   9627, 
/* msg =    229, deg =  7 */    721,   2377,   4088,   8642,   9303,   9761,   9967, 
/* msg =    230, deg =  7 */   1245,   3178,   3780,   8562,   9463,   9466,   9578, 
/* msg =    231, deg =  7 */     15,   2356,   3706,   9120,   9181,   9724,   9849, 
/* msg =    232, deg =  7 */    113,   1935,   4684,   8925,   9623,   9656,   9667, 
/* msg =    233, deg =  7 */     68,   2783,   3481,   8414,   9213,   9605,   9617, 
/* msg =    234, deg =  7 */   1242,   2221,   4896,   8526,   9198,   9475,   9595, 
/* msg =    235, deg =  7 */    638,   2384,   3720,   8832,   9160,   9292,   9772, 
/* msg =    236, deg =  7 */    308,   2757,   4829,   8736,   9246,   9392,   9934, 
/* msg =    237, deg =  7 */    268,   2244,   4443,   9052,   9352,   9446,   9631, 
/* msg =    238, deg =  7 */   1047,   2919,   4093,   8751,   9171,   9378,   9741, 
/* msg =    239, deg =  7 */    818,   3091,   3617,   8458,   9390,   9674,   9682, 
/* msg =    240, deg =  7 */    848,   2681,   3630,   8662,   9575,   9786,   9966, 
/* msg =    241, deg =  7 */    942,   1939,   3421,   8973,   9206,   9848,   9936, 
/* msg =    242, deg =  7 */    121,   2182,   4952,   8952,   9219,   9504,   9835, 
/* msg =    243, deg =  7 */    906,   1839,   3735,   9054,   9178,   9210,   9464, 
/* msg =    244, deg =  7 */    397,   2364,   3411,   8322,   9316,   9527,   9802, 
/* msg =    245, deg =  7 */    229,   2122,   3572,   9019,   9315,   9327,   9349, 
/* msg =    246, deg =  7 */    595,   2777,   4175,   8442,   9213,   9285,   9305, 
/* msg =    247, deg =  7 */   1101,   2040,   3363,   8487,   9430,   9472,   9935, 
/* msg =    248, deg =  7 */   1582,   2968,   4001,   8916,   9167,   9579,   9622, 
/* msg =    249, deg =  7 */   1347,   3065,   4971,   8376,   9584,   9635,   9910, 
/* msg =    250, deg =  7 */    233,   2199,   4753,   9029,   9142,   9163,   9834, 
/* msg =    251, deg =  7 */     62,   3286,   4012,   9109,   9339,   9615,   9877, 
/* msg =    252, deg =  7 */    800,   2852,   4913,   8370,   9242,   9247,   9500, 
/* msg =    253, deg =  7 */    687,   1764,   4803,   8704,   9613,   9692,   9852, 
/* msg =    254, deg =  7 */   1015,   2243,   3497,   8478,   9304,   9783,   9849, 
/* msg =    255, deg =  7 */   1117,   3130,   3339,   8683,   9363,   9602,   9842, 
/* msg =    256, deg =  7 */   1259,   2480,   3433,   9131,   9385,   9478,   9738, 
/* msg =    257, deg =  7 */   1499,   2412,   4039,   8440,   9433,   9470,   9823, 
/* msg =    258, deg =  7 */   1092,   1921,   4683,   8836,   9202,   9455,   9653, 
/* msg =    259, deg =  7 */   1324,   2400,   3989,   8822,   9201,   9743,   9903, 
/* msg =    260, deg =  7 */    828,   1962,   3546,   8608,   9314,   9435,   9712, 
/* msg =    261, deg =  7 */   1418,   2509,   4496,   9047,   9196,   9589,   9594, 
/* msg =    262, deg =  7 */   1377,   2581,   3833,   8364,   9215,   9520,   9620, 
/* msg =    263, deg =  7 */    792,   2240,   3512,   8831,   9456,   9542,   9694, 
/* msg =    264, deg =  7 */    214,   3196,   3957,   9075,   9536,   9555,   9630, 
/* msg =    265, deg =  7 */    496,   1848,   4372,   9016,   9292,   9407,   9651, 
/* msg =    266, deg =  7 */    773,   3152,   4034,   8807,   9235,   9306,   9368, 
/* msg =    267, deg =  7 */    905,   3083,   4415,   8906,   9173,   9385,   9585, 
/* msg =    268, deg =  7 */   1004,   1783,   3846,   8891,   9557,   9795,   9854, 
/* msg =    269, deg =  7 */    491,   2489,   4074,   8951,   9473,   9532,   9775, 
/* msg =    270, deg =  7 */    285,   2370,   3346,   9082,   9491,   9620,   9891, 
/* msg =    271, deg =  7 */    507,   1698,   3650,   9044,   9169,   9319,   9331, 
/* msg =    272, deg =  7 */    840,   1999,   3939,   8855,   9216,   9810,   9950, 
/* msg =    273, deg =  7 */    723,   2552,   4053,   8776,   9467,   9843,   9895, 
/* msg =    274, deg =  7 */    645,   2139,   3837,   8874,   9236,   9356,   9927, 
/* msg =    275, deg =  7 */    710,   2123,   4287,   8311,   9554,   9740,   9822, 
/* msg =    276, deg =  7 */    380,   2418,   3747,   8640,   9243,   9544,   9698, 
/* msg =    277, deg =  7 */    758,   2261,   4105,   8351,   9601,   9767,   9784, 
/* msg =    278, deg =  7 */   1335,   2322,   4649,   8863,   9365,   9386,   9657, 
/* msg =    279, deg =  7 */    469,   2132,   3547,   8618,   9168,   9631,   9771, 
/* msg =    280, deg =  7 */    325,   2828,   4504,   8395,   9206,   9235,   9651, 
/* msg =    281, deg =  7 */   1515,   2229,   3540,   8913,   9450,   9738,   9854, 
/* msg =    282, deg =  7 */    989,   3020,   3465,   8481,   9293,   9753,   9942, 
/* msg =    283, deg =  7 */    557,   1725,   4921,   8319,   9281,   9333,   9728, 
/* msg =    284, deg =  7 */   1508,   1887,   4610,   9027,   9156,   9489,   9793, 
/* msg =    285, deg =  7 */    616,   2931,   4200,   8393,   9622,   9639,   9861, 
/* msg =    286, deg =  7 */   1433,   2966,   4764,   8548,   9165,   9408,   9580, 
/* msg =    287, deg =  7 */   1308,   1796,   4516,   8995,   9283,   9300,   9959, 
/* msg =    288, deg =  7 */   1059,   1857,   4409,   8330,   9220,   9312,   9723, 
/* msg =    289, deg =  7 */    640,   3171,   4566,   8978,   9357,   9494,   9520, 
/* msg =    290, deg =  7 */     53,   2981,   4352,   8580,   9318,   9649,   9894, 
/* msg =    291, deg =  7 */    982,   2313,   3879,   8407,   9425,   9488,   9765, 
/* msg =    292, deg =  7 */   1329,   3069,   3795,   8551,   9235,   9878,   9970, 
/* msg =    293, deg =  7 */   1053,   2343,   4062,   8667,   9305,   9847,   9921, 
/* msg =    294, deg =  7 */   1463,   3100,   3526,   8720,   9172,   9533,   9952, 
/* msg =    295, deg =  7 */   1478,   2921,   4123,   8899,   9240,   9906,   9941, 
/* msg =    296, deg =  7 */    599,   2513,   3595,   8674,   9321,   9539,   9925, 
/* msg =    297, deg =  7 */   1638,   2421,   4954,   8386,   9403,   9470,   9854, 
/* msg =    298, deg =  7 */    574,   1952,   3893,   8557,   9454,   9669,   9762, 
/* msg =    299, deg =  7 */    863,   3040,   3341,   9049,   9144,   9485,   9960, 
/* msg =    300, deg =  7 */   1192,   3080,   3627,   9103,   9437,   9789,   9962, 
/* msg =    301, deg =  7 */    844,   2624,   4974,   8923,   9233,   9380,   9634, 
/* msg =    302, deg =  7 */    807,   2874,   4549,   8834,   9324,   9423,   9950, 
/* msg =    303, deg =  7 */   1376,   2351,   4498,   9037,   9207,   9732,   9756, 
/* msg =    304, deg =  7 */   1501,   2496,   4038,   8555,   9359,   9630,   9680, 
/* msg =    305, deg =  7 */    882,   1927,   4221,   8352,   9243,   9455,   9664, 
/* msg =    306, deg =  7 */     39,   3063,   3960,   8347,   9850,   9931,   9964, 
/* msg =    307, deg =  7 */    355,   1722,   4834,   8850,   9699,   9851,   9914, 
/* msg =    308, deg =  7 */     94,   2853,   3876,   8710,   9227,   9671,   9827, 
/* msg =    309, deg =  7 */   1420,   2222,   3365,   9056,   9193,   9332,   9600, 
/* msg =    310, deg =  7 */    892,   2737,   4671,   8918,   9243,   9389,   9571, 
/* msg =    311, deg =  7 */    335,   3264,   4031,   8746,   9251,   9689,   9772, 
/* msg =    312, deg =  7 */   1349,   2660,   3483,   9070,   9284,   9764,   9832, 
/* msg =    313, deg =  7 */    450,   3295,   3943,   8786,   9643,   9905,   9948, 
/* msg =    314, deg =  7 */   1081,   3299,   4677,   8726,   9462,   9577,   9686, 
/* msg =    315, deg =  7 */   1226,   2915,   4370,   8636,   9155,   9527,   9646, 
/* msg =    316, deg =  7 */   1043,   2733,   4731,   8372,   9298,   9550,   9657, 
/* msg =    317, deg =  7 */    337,   2500,   4605,   8536,   9145,   9148,   9241, 
/* msg =    318, deg =  7 */   1315,   2212,   3559,   8500,   9149,   9246,   9480, 
/* msg =    319, deg =  7 */   1416,   1742,   3502,   8948,   9340,   9588,   9596, 
/* msg =    320, deg =  7 */    542,   2827,   4632,   8970,   9387,   9651,   9776, 
/* msg =    321, deg =  7 */    858,   2911,   3986,   8448,   9248,   9790,   9865, 
/* msg =    322, deg =  7 */    272,   1983,   4390,   8579,   9852,   9908,   9958, 
/* msg =    323, deg =  7 */   1056,   2284,   4596,   8314,   9467,   9637,   9928, 
/* msg =    324, deg =  7 */   1656,   3170,   3975,   9011,   9313,   9477,   9656, 
/* msg =    325, deg =  7 */   1078,   2610,   4470,   8884,   9336,   9365,   9685, 
/* msg =    326, deg =  7 */    410,   2763,   3362,   9018,   9154,   9447,   9604, 
/* msg =    327, deg =  7 */    968,   3164,   4815,   8663,   9528,   9752,   9894, 
/* msg =    328, deg =  7 */    162,   2902,   3522,   9005,   9279,   9421,   9720, 
/* msg =    329, deg =  7 */    701,   2034,   4980,   8859,   9249,   9328,   9806, 
/* msg =    330, deg =  7 */    509,   1845,   3607,   8872,   9540,   9670,   9894, 
/* msg =    331, deg =  7 */    874,   1748,   4730,   8905,   9142,   9672,   9773, 
/* msg =    332, deg =  7 */   1210,   2067,   4942,   8467,   9290,   9379,   9599, 
/* msg =    333, deg =  7 */    934,   2214,   4433,   8892,   9439,   9747,   9879, 
/* msg =    334, deg =  7 */   1102,   1883,   3822,   8623,   9504,   9749,   9855, 
/* msg =    335, deg =  7 */    431,   2619,   3774,   9078,   9165,   9377,   9625, 
/* msg =    336, deg =  7 */   1547,   3149,   4418,   8936,   9288,   9405,   9965, 
/* msg =    337, deg =  7 */    933,   1872,   4524,   8578,   9256,   9677,   9754, 
/* msg =    338, deg =  7 */    547,   2906,   4787,   8961,   9496,   9506,   9926, 
/* msg =    339, deg =  7 */   1241,   3137,   3969,   8449,   9231,   9395,   9867, 
/* msg =    340, deg =  7 */   1256,   1846,   4567,   8375,   9175,   9502,   9855, 
/* msg =    341, deg =  7 */    498,   1866,   3808,   8877,   9208,   9907,   9914, 
/* msg =    342, deg =  7 */    986,   2577,   3598,   8388,   9443,   9535,   9550, 
/* msg =    343, deg =  7 */    845,   2668,   4467,   8333,   9308,   9420,   9521, 
/* msg =    344, deg =  7 */    461,   2526,   4048,   8770,   9376,   9492,   9824, 
/* msg =    345, deg =  7 */   1637,   2770,   4616,   9004,   9239,   9266,   9378, 
/* msg =    346, deg =  7 */    738,   2760,   4013,   8517,   9438,   9439,   9621, 
/* msg =    347, deg =  7 */    994,   2428,   4898,   8955,   9308,   9643,   9911, 
/* msg =    348, deg =  7 */   1652,   2608,   4513,   8727,   9174,   9441,   9829, 
/* msg =    349, deg =  7 */   1427,   3105,   4255,   8399,   9253,   9805,   9879, 
/* msg =    350, deg =  7 */    352,   2365,   3869,   8876,   9454,   9460,   9856, 
/* msg =    351, deg =  7 */    211,   1974,   4472,   9071,   9475,   9804,   9835, 
/* msg =    352, deg =  7 */    202,   3256,   4461,   8544,   9396,   9766,   9916, 
/* msg =    353, deg =  7 */   1071,   1871,   4452,   8675,   9678,   9917,   9970, 
/* msg =    354, deg =  7 */    133,   1990,   3719,   8897,   9176,   9286,   9552, 
/* msg =    355, deg =  7 */    596,   2072,   4060,   8994,   9171,   9255,   9359, 
/* msg =    356, deg =  7 */    257,   2487,   3882,   8867,   9203,   9370,   9735, 
/* msg =    357, deg =  7 */    601,   2318,   3731,   8805,   9317,   9648,   9825, 
/* msg =    358, deg =  7 */    318,   1834,   4179,   9028,   9310,   9710,   9933, 
/* msg =    359, deg =  7 */   1220,   1813,   3695,   8782,   9689,   9875,   9962, 
/* msg =    360, deg =  7 */   1003,   2325,   4838,   9042,   9468,   9671,   9752, 
/* msg =    361, deg =  7 */    604,   1837,   4800,   8339,   9263,   9390,   9424, 
/* msg =    362, deg =  7 */    732,   2321,   4494,   8887,   9187,   9304,   9932, 
/* msg =    363, deg =  7 */    571,   2376,   3721,   8788,   9472,   9762,   9971, 
/* msg =    364, deg =  7 */    897,   1671,   4131,   8453,   9410,   9724,   9801, 
/* msg =    365, deg =  7 */    505,   3213,   4959,   8552,   9176,   9299,   9771, 
/* msg =    366, deg =  7 */    966,   2756,   4484,   8349,   9483,   9515,   9642, 
/* msg =    367, deg =  7 */    112,   3012,   4878,   8438,   9356,   9719,   9940, 
/* msg =    368, deg =  7 */    629,   1726,   3770,   8582,   9269,   9319,   9700, 
/* msg =    369, deg =  7 */    361,   2512,   3582,   8982,   9280,   9372,   9545, 
/* msg =    370, deg =  7 */   1366,   2438,   4174,   8744,   9436,   9511,   9721, 
/* msg =    371, deg =  7 */    512,   2061,   4519,   8795,   9588,   9789,   9930, 
/* msg =    372, deg =  7 */    913,   2590,   3529,   8778,   9311,   9637,   9708, 
/* msg =    373, deg =  7 */   1621,   2169,   3377,   8324,   9577,   9723,   9959, 
/* msg =    374, deg =  7 */    550,   1944,   3829,   9076,   9168,   9580,   9700, 
/* msg =    375, deg =  7 */   1112,   2792,   4005,   9036,   9201,   9362,   9630, 
/* msg =    376, deg =  7 */     88,   2402,   4332,   8959,   9150,   9169,   9726, 
/* msg =    377, deg =  7 */    908,   2950,   4642,   9104,   9187,   9222,   9733, 
/* msg =    378, deg =  7 */   1578,   3147,   4066,   8600,   9333,   9508,   9529, 
/* msg =    379, deg =  7 */    303,   2233,   4557,   8769,   9163,   9183,   9968, 
/* msg =    380, deg =  7 */    204,   2723,   3856,   9073,   9640,   9692,   9876, 
/* msg =    381, deg =  7 */    433,   1902,   4692,   8833,   9460,   9473,   9708, 
/* msg =    382, deg =  7 */   1262,   3135,   4242,   8354,   9501,   9609,   9748, 
/* msg =    383, deg =  7 */   1206,   2775,   4296,   8997,   9561,   9578,   9625, 
/* msg =    384, deg =  7 */     47,   3001,   4619,   8605,   9295,   9808,   9823, 
/* msg =    385, deg =  7 */    900,   2382,   4025,   8412,   9515,   9650,   9910, 
/* msg =    386, deg =  7 */    935,   2934,   3549,   8794,   9320,   9415,   9503, 
/* msg =    387, deg =  7 */    305,   2602,   4930,   8772,   9673,   9687,   9729, 
/* msg =    388, deg =  7 */   1447,   2705,   4520,   8804,   9574,   9842,   9903, 
/* msg =    389, deg =  7 */    924,   2648,   4354,   9137,   9453,   9583,   9796, 
/* msg =    390, deg =  7 */   1342,   1702,   4410,   8739,   9239,   9282,   9947, 
/* msg =    391, deg =  7 */    762,   2948,   4958,   8792,   9336,   9633,   9880, 
/* msg =    392, deg =  7 */   1183,   1842,   3789,   8866,   9335,   9529,   9831, 
/* msg =    393, deg =  7 */    743,   2394,   3354,   8556,   9204,   9265,   9952, 
/* msg =    394, deg =  7 */   1301,   3078,   3746,   8851,   9204,   9691,   9764, 
/* msg =    395, deg =  7 */   1274,   3323,   3543,   8519,   9155,   9411,   9921, 
/* msg =    396, deg =  7 */   1461,   2936,   3441,   8909,   9290,   9595,   9799, 
/* msg =    397, deg =  7 */    829,   2130,   4250,   8631,   9427,   9846,   9884, 
/* msg =    398, deg =  7 */   1300,   2542,   4412,   8735,   9371,   9731,   9908, 
/* msg =    399, deg =  7 */   1368,   2202,   3965,   9100,   9341,   9782,   9922, 
/* msg =    400, deg =  7 */   1494,   2903,   4188,   8648,   9298,   9676,   9770, 
/* msg =    401, deg =  7 */    387,   2771,   4018,   8652,   9475,   9646,   9696, 
/* msg =    402, deg =  7 */    598,   1670,   4984,   8465,   9476,   9608,   9938, 
/* msg =    403, deg =  7 */   1362,   2711,   4963,   9081,   9378,   9632,   9744, 
/* msg =    404, deg =  7 */   1110,   3011,   3544,   8740,   9407,   9909,   9933, 
/* msg =    405, deg =  7 */   1281,   2641,   4906,   8475,   9511,   9827,   9942, 
/* msg =    406, deg =  7 */    555,   1770,   4601,   8610,   9640,   9701,   9780, 
/* msg =    407, deg =  7 */    135,   1971,   3933,   8954,   9722,   9807,   9872, 
/* msg =    408, deg =  7 */    222,   2245,   4260,   8387,   9182,   9403,   9530, 
/* msg =    409, deg =  7 */   1090,   2698,   4112,   8682,   9192,   9240,   9500, 
/* msg =    410, deg =  7 */    398,   1700,   3409,   8493,   9215,   9289,   9612, 
/* msg =    411, deg =  7 */   1352,   1870,   4650,   8908,   9274,   9576,   9729, 
/* msg =    412, deg =  7 */    661,   3190,   4103,   8509,   9326,   9392,   9743, 
/* msg =    413, deg =  7 */   1214,   2210,   3649,   9122,   9185,   9458,   9716, 
/* msg =    414, deg =  7 */   1284,   2952,   3458,   8715,   9403,   9410,   9771, 
/* msg =    415, deg =  7 */   1465,   1901,   4816,   8470,   9152,   9384,   9615, 
/* msg =    416, deg =  7 */   1471,   3181,   4592,   9097,   9162,   9234,   9276, 
/* msg =    417, deg =  7 */    473,   2163,   3557,   8406,   9354,   9462,   9668, 
/* msg =    418, deg =  7 */    251,   2703,   4309,   8594,   9352,   9622,   9905, 
/* msg =    419, deg =  7 */   1113,   3255,   4078,   8752,   9360,   9412,   9572, 
/* msg =    420, deg =  7 */    323,   1788,   4056,   8381,   9253,   9497,   9519, 
/* msg =    421, deg =  7 */    717,   2422,   3977,   9066,   9375,   9616,   9804, 
/* msg =    422, deg =  7 */    622,   3284,   4249,   8712,   9474,   9492,   9748, 
/* msg =    423, deg =  7 */     77,   2312,   3766,   8550,   9283,   9349,   9548, 
/* msg =    424, deg =  7 */   1063,   2839,   3642,   9138,   9143,   9264,   9569, 
/* msg =    425, deg =  7 */    165,   2588,   4456,   8947,   9920,   9940,   9957, 
/* msg =    426, deg =  7 */    682,   1889,   3337,   8796,   9280,   9334,   9816, 
/* msg =    427, deg =  7 */   1088,   1714,   4933,   8819,   9436,   9531,   9809, 
/* msg =    428, deg =  7 */    240,   3104,   4189,   8827,   9695,   9764,   9942, 
/* msg =    429, deg =  7 */   1285,   2635,   4090,   8665,   9182,   9272,   9655, 
/* msg =    430, deg =  7 */   1611,   2886,   3417,   8589,   9547,   9703,   9736, 
/* msg =    431, deg =  7 */    495,   2983,   4169,   8469,   9179,   9528,   9912, 
/* msg =    432, deg =  7 */    261,   1746,   3724,   8946,   9154,   9358,   9914, 
/* msg =    433, deg =  7 */    566,   2846,   4634,   8488,   9585,   9798,   9947, 
/* msg =    434, deg =  7 */    429,   3143,   3809,   9053,   9170,   9426,   9689, 
/* msg =    435, deg =  7 */    883,   2362,   4297,   8495,   9164,   9248,   9695, 
/* msg =    436, deg =  7 */   1400,   2573,   3778,   8756,   9210,   9399,   9438, 
/* msg =    437, deg =  7 */    997,   2822,   3692,   8791,   9550,   9594,   9611, 
/* msg =    438, deg =  7 */   1570,   2207,   3685,   8858,   9490,   9512,   9579, 
/* msg =    439, deg =  7 */    674,   2726,   4521,   8931,   9389,   9813,   9954, 
/* msg =    440, deg =  7 */    872,   2375,   4674,   8537,   9314,   9498,   9552, 
/* msg =    441, deg =  7 */    833,   3220,   4207,   8690,   9160,   9317,   9510, 
/* msg =    442, deg =  7 */    903,   1727,   3885,   9127,   9303,   9418,   9881, 
/* msg =    443, deg =  7 */   1575,   2898,   3794,   8404,   9483,   9655,   9882, 
/* msg =    444, deg =  7 */    527,   3042,   3426,   8934,   9432,   9480,   9567, 
/* msg =    445, deg =  7 */    714,   3006,   4604,   8780,   9225,   9482,   9929, 
/* msg =    446, deg =  7 */    594,   2156,   3892,   8842,   9478,   9479,   9636, 
/* msg =    447, deg =  7 */    569,   2331,   3472,   8617,   9288,   9441,   9845, 
/* msg =    448, deg =  7 */   1152,   3019,   3670,   8596,   9337,   9364,   9934, 
/* msg =    449, deg =  7 */    141,   1958,   3353,   8532,   9424,   9583,   9889, 
/* msg =    450, deg =  7 */   1195,   1960,   3817,   8471,   9627,   9794,   9863, 
/* msg =    451, deg =  7 */   1108,   2559,   3367,   8935,   9426,   9428,   9613, 
/* msg =    452, deg =  7 */    610,   3168,   3589,   9046,   9551,   9637,   9943, 
/* msg =    453, deg =  7 */   1217,   1807,   4492,   9106,   9249,   9347,   9364, 
/* msg =    454, deg =  7 */   1277,   3272,   4782,   8830,   9149,   9173,   9291, 
/* msg =    455, deg =  7 */   1172,   2778,   4852,   8903,   9469,   9664,   9778, 
/* msg =    456, deg =  7 */    841,   2671,   3715,   8852,   9230,   9481,   9830, 
/* msg =    457, deg =  7 */   1398,   3013,   3386,   8568,   9307,   9311,   9337, 
/* msg =    458, deg =  7 */    136,   1942,   3570,   8862,   9585,   9787,   9871, 
/* msg =    459, deg =  7 */   1119,   2725,   4236,   8737,   9196,   9670,   9818, 
/* msg =    460, deg =  7 */    330,   3122,   4697,   8641,   9167,   9610,   9683, 
/* msg =    461, deg =  7 */   1647,   1878,   3408,   9098,   9276,   9329,   9437, 
/* msg =    462, deg =  7 */    920,   1861,   3814,   8942,   9429,   9701,   9874, 
/* msg =    463, deg =  7 */    741,   2158,   4676,   8816,   9576,   9759,   9906, 
/* msg =    464, deg =  7 */   1196,   2448,   4859,   8397,   9197,   9659,   9963, 
/* msg =    465, deg =  7 */    160,   2299,   4762,   8880,   9212,   9317,   9837, 
/* msg =    466, deg =  7 */    944,   1967,   3348,   8520,   9641,   9851,   9901, 
/* msg =    467, deg =  7 */   1633,   3106,   3505,   8315,   9316,   9845,   9944, 
/* msg =    468, deg =  7 */   1543,   2126,   4106,   8598,   9356,   9388,   9556, 
/* msg =    469, deg =  7 */    420,   2659,   3976,   8593,   9413,   9553,   9762, 
/* msg =    470, deg =  7 */    328,   2917,   3740,   8350,   9214,   9969,   9971, 
/* msg =    471, deg =  7 */    441,   3117,   4081,   8377,   9192,   9380,   9678, 
/* msg =    472, deg =  7 */    235,   2850,   3906,   8828,   9220,   9244,   9924, 
/* msg =    473, deg =  7 */    949,   3045,   4860,   8678,   9294,   9519,   9725, 
/* msg =    474, deg =  7 */    965,   1688,   4059,   8647,   9223,   9440,   9888, 
/* msg =    475, deg =  7 */   1392,   3240,   3953,   8607,   9227,   9785,   9969, 
/* msg =    476, deg =  7 */    324,   2826,   4388,   9095,   9194,   9374,   9487, 
/* msg =    477, deg =  7 */    424,   1817,   4862,   8937,   9763,   9811,   9881, 
/* msg =    478, deg =  7 */   1600,   1858,   4693,   8343,   9144,   9379,   9954, 
/* msg =    479, deg =  7 */   1616,   3211,   4955,   9133,   9382,   9479,   9796, 
/* msg =    480, deg =  7 */   1462,   2100,   3490,   8783,   9273,   9901,   9934, 
/* msg =    481, deg =  7 */   1521,   2457,   3467,   8363,   9158,   9364,   9644, 
/* msg =    482, deg =  7 */     50,   2068,   4421,   8992,   9164,   9213,   9590, 
/* msg =    483, deg =  7 */   1207,   2093,   3603,   8585,   9923,   9948,   9966, 
/* msg =    484, deg =  7 */   1517,   1867,   3640,   8775,   9572,   9720,   9744, 
/* msg =    485, deg =  7 */   1446,   2893,   3562,   8577,   9449,   9512,   9540, 
/* msg =    486, deg =  7 */    348,   2056,   4902,   8644,   9230,   9332,   9955, 
/* msg =    487, deg =  7 */    506,   1985,   3926,   8969,   9459,   9722,   9765, 
/* msg =    488, deg =  7 */    759,   2011,   3482,   8346,   9666,   9724,   9888, 
/* msg =    489, deg =  7 */    637,   2106,   4230,   8886,   9228,   9710,   9836, 
/* msg =    490, deg =  7 */    959,   1666,   4901,   8653,   9516,   9669,   9821, 
/* msg =    491, deg =  7 */    416,   1953,   4150,   9021,   9170,   9326,   9869, 
/* msg =    492, deg =  7 */    543,   1808,   4694,   8400,   9518,   9566,   9831, 
/* msg =    493, deg =  7 */    552,   2546,   4542,   8421,   9393,   9723,   9828, 
/* msg =    494, deg =  7 */    124,   2043,   4316,   8344,   9641,   9645,   9950, 
/* msg =    495, deg =  7 */     90,   2077,   4046,   8728,   9399,   9488,   9539, 
/* msg =    496, deg =  7 */   1597,   3128,   3612,   8705,   9367,   9370,   9829, 
/* msg =    497, deg =  7 */    108,   2992,   3790,   9061,   9569,   9574,   9593, 
/* msg =    498, deg =  7 */    823,   2606,   3651,   8619,   9625,   9778,   9861, 
/* msg =    499, deg =  7 */    102,   1852,   3884,   8365,   9250,   9913,   9939, 
/* msg =    500, deg =  7 */   1142,   1703,   4367,   8558,   9231,   9313,   9448, 
/* msg =    501, deg =  7 */    271,   2713,   4139,   8781,   9462,   9560,   9768, 
/* msg =    502, deg =  7 */    563,   3276,   4865,   8595,   9862,   9875,   9968, 
/* msg =    503, deg =  7 */   1468,   2298,   4818,   8817,   9501,   9546,   9876, 
/* msg =    504, deg =  7 */    523,   2073,   4630,   8824,   9251,   9330,   9586, 
/* msg =    505, deg =  7 */   1480,   2926,   3928,   9009,   9267,   9521,   9693, 
/* msg =    506, deg =  7 */   1401,   2724,   4201,   8543,   9450,   9485,   9705, 
/* msg =    507, deg =  7 */    774,   2833,   4246,   8938,   9502,   9626,   9773, 
/* msg =    508, deg =  7 */   1520,   1816,   4160,   8754,   9194,   9350,   9734, 
/* msg =    509, deg =  7 */   1143,   2016,   4517,   8427,   9508,   9586,   9751, 
/* msg =    510, deg =  7 */    446,   2474,   4514,   8841,   9404,   9553,   9843, 
/* msg =    511, deg =  7 */    149,   2108,   4238,   8787,   9455,   9708,   9887, 
/* msg =    512, deg =  7 */   1040,   2338,   4407,   8669,   9345,   9629,   9812, 
/* msg =    513, deg =  7 */   1380,   1719,   4009,   8730,   9597,   9629,   9892, 
/* msg =    514, deg =  7 */    513,   3024,   4747,   8985,   9350,   9495,   9871, 
/* msg =    515, deg =  7 */   1125,   3173,   3593,   8611,   9241,   9755,   9796, 
/* msg =    516, deg =  7 */    611,   1966,   4083,   8560,   9208,   9636,   9781, 
/* msg =    517, deg =  7 */   1396,   2272,   4351,   8854,   9264,   9283,   9659, 
/* msg =    518, deg =  7 */   1605,   3319,   4344,   8633,   9179,   9375,   9559, 
/* msg =    519, deg =  7 */   1121,   3136,   3827,   8759,   9376,   9516,   9580, 
/* msg =    520, deg =  7 */    683,   1955,   3688,   9090,   9452,   9540,   9916, 
/* msg =    521, deg =  7 */    231,   2432,   4279,   8621,   9232,   9249,   9702, 
/* msg =    522, deg =  7 */   1275,   3293,   4556,   8849,   9172,   9248,   9864, 
/* msg =    523, deg =  7 */    132,   2970,   3877,   8460,   9167,   9522,   9666, 
/* msg =    524, deg =  7 */    208,   2371,   4227,   8793,   9564,   9572,   9717, 
/* msg =    525, deg =  7 */   1069,   2019,   3911,   8422,   9383,   9772,   9794, 
/* msg =    526, deg =  7 */     30,   2776,   4656,   9048,   9400,   9639,   9804, 
/* msg =    527, deg =  7 */   1357,   2305,   3865,   8455,   9245,   9523,   9770, 
/* msg =    528, deg =  7 */   1555,   2547,   4261,   8681,   9345,   9542,   9797, 
/* msg =    529, deg =  7 */    961,   1812,   4058,   8989,   9305,   9570,   9662, 
/* msg =    530, deg =  7 */    779,   2383,   3524,   8569,   9543,   9676,   9895, 
/* msg =    531, deg =  7 */   1529,   2787,   3523,   8583,   9217,   9358,   9824, 
/* msg =    532, deg =  7 */    326,   2583,   4938,   9035,   9352,   9581,   9814, 
/* msg =    533, deg =  7 */    284,   2922,   3485,   8803,   9191,   9837,   9860, 
/* msg =    534, deg =  7 */   1086,   2327,   4274,   8571,   9142,   9584,   9893, 
/* msg =    535, deg =  7 */   1604,   2270,   4363,   8845,   9366,   9484,   9802, 
/* msg =    536, deg =  7 */   1221,   2188,   4007,   8332,   9259,   9741,   9787, 
/* msg =    537, deg =  7 */    153,   3095,   3915,   8882,   9321,   9822,   9931, 
/* msg =    538, deg =  7 */    902,   3097,   4627,   8809,   9306,   9510,   9716, 
/* msg =    539, deg =  7 */    922,   1831,   3821,   8820,   9359,   9731,   9767, 
/* msg =    540, deg =  7 */    134,   1792,   4232,   8613,   9236,   9284,   9707, 
/* msg =    541, deg =  7 */   1167,   2000,   3919,   9112,   9214,   9647,   9930, 
/* msg =    542, deg =  7 */    681,   3014,   4899,   9008,   9151,   9623,   9824, 
/* msg =    543, deg =  7 */    539,   3127,   4432,   8447,   9751,   9758,   9935, 
/* msg =    544, deg =  7 */    754,   2326,   4846,   8979,   9200,   9554,   9830, 
/* msg =    545, deg =  7 */    370,   2234,   3777,   8524,   9603,   9688,   9846, 
/* msg =    546, deg =  7 */    247,   2718,   4879,   8941,   9276,   9549,   9931, 
/* msg =    547, deg =  7 */   1073,   2423,   4384,   9013,   9318,   9442,   9957, 
/* msg =    548, deg =  7 */    234,   2109,   4319,   8380,   9555,   9669,   9699, 
/* msg =    549, deg =  7 */   1250,   2560,   4061,   8745,   9391,   9768,   9840, 
/* msg =    550, deg =  7 */    864,   2215,   4063,   9121,   9315,   9372,   9707, 
/* msg =    551, deg =  7 */    750,   2979,   4014,   8707,   9778,   9803,   9922, 
/* msg =    552, deg =  7 */    796,   2594,   4233,   8896,   9721,   9813,   9857, 
/* msg =    553, deg =  7 */    501,   2455,   3723,   8345,   9361,   9514,   9567, 
/* msg =    554, deg =  7 */    815,   2264,   3537,   8840,   9180,   9425,   9496, 
/* msg =    555, deg =  7 */   1213,   1906,   4948,   8960,   9217,   9710,   9873, 
/* msg =    556, deg =  7 */   1534,   2143,   4636,   9024,   9203,   9628,   9915, 
/* msg =    557, deg =  7 */   1393,   3166,   4323,   9065,   9156,   9453,   9882, 
/* msg =    558, deg =  7 */    955,   3068,   4741,   8530,   9203,   9742,   9866, 
/* msg =    559, deg =  7 */   1615,   1984,   4252,   8507,   9241,   9530,   9857, 
/* msg =    560, deg =  7 */    249,   1710,   4917,   8639,   9541,   9720,   9936, 
/* msg =    561, deg =  7 */    418,   2431,   4809,   9092,   9236,   9634,   9706, 
/* msg =    562, deg =  7 */   1290,   2179,   4365,   9094,   9334,   9902,   9910, 
/* msg =    563, deg =  7 */   1191,   1854,   3665,   8701,   9591,   9774,   9810, 
/* msg =    564, deg =  7 */    190,   2768,   4080,   8679,   9445,   9619,   9877, 
/* msg =    565, deg =  7 */    483,   2927,   4844,   9107,   9165,   9220,   9262, 
/* msg =    566, deg =  7 */    663,   2820,   4788,   8657,   9147,   9745,   9809, 
/* msg =    567, deg =  7 */   1340,   3108,   4248,   9015,   9422,   9584,   9652, 
/* msg =    568, deg =  7 */   1296,   2235,   3596,   8444,   9309,   9344,   9870, 
/* msg =    569, deg =  7 */    777,   1879,   4529,   8914,   9327,   9806,   9865, 
/* msg =    570, deg =  7 */   1211,   2731,   4077,   9093,   9389,   9452,   9737, 
/* msg =    571, deg =  7 */   1147,   3262,   4340,   8529,   9727,   9770,   9814, 
/* msg =    572, deg =  7 */    402,   2359,   4821,   8329,   9159,   9193,   9471, 
/* msg =    573, deg =  7 */     56,   2074,   4911,   8860,   9282,   9578,   9766, 
/* msg =    574, deg =  7 */   1558,   2561,   4403,   8962,   9431,   9464,   9925, 
/* msg =    575, deg =  7 */    156,   1843,   3942,   8883,   9423,   9528,   9746, 
/* msg =    576, deg =  7 */   1365,   3275,   4850,   8732,   9291,   9672,   9882, 
/* msg =    577, deg =  7 */    720,   3312,   4643,   8486,   9595,   9707,   9961, 
/* msg =    578, deg =  7 */   1632,   3029,   4842,   8528,   9701,   9875,   9924, 
/* msg =    579, deg =  7 */    930,   3235,   4475,   9023,   9367,   9412,   9687, 
/* msg =    580, deg =  7 */   1068,   2501,   4437,   8963,   9222,   9301,   9309, 
/* msg =    581, deg =  7 */    967,   3043,   4259,   8699,   9322,   9343,   9575, 
/* msg =    582, deg =  7 */   1645,   1717,   4673,   8432,   9600,   9629,   9814, 
/* msg =    583, deg =  7 */   1174,   1847,   3621,   8798,   9351,   9437,   9792, 
/* msg =    584, deg =  7 */    393,   2220,   4535,   8561,   9269,   9399,   9907, 
/* msg =    585, deg =  7 */    327,   2173,   4376,   8750,   9369,   9588,   9799, 
/* msg =    586, deg =  7 */    176,   3197,   4699,   8604,   9618,   9744,   9758, 
/* msg =    587, deg =  7 */    660,   3155,   4293,   9091,   9375,   9402,   9801, 
/* msg =    588, deg =  7 */    462,   2829,   4951,   8616,   9507,   9518,   9718, 
/* msg =    589, deg =  7 */    854,   1912,   3962,   9062,   9141,   9466,   9962, 
/* msg =    590, deg =  7 */   1123,   1914,   4581,   8870,   9200,   9388,   9970, 
/* msg =    591, deg =  7 */    365,   1838,   3476,   8871,   9655,   9742,   9927, 
/* msg =    592, deg =  7 */   1082,   2399,   3340,   8761,   9270,   9709,   9717, 
/* msg =    593, deg =  7 */   1076,   2939,   3332,   8398,   9209,   9325,   9561, 
/* msg =    594, deg =  7 */   1234,   2379,   4861,   8692,   9340,   9477,   9574, 
/* msg =    595, deg =  7 */   1374,   2533,   4618,   9130,   9273,   9565,   9633, 
/* msg =    596, deg =  7 */   1561,   2536,   3542,   8763,   9347,   9534,   9535, 
/* msg =    597, deg =  7 */   1456,   2553,   4382,   9089,   9173,   9896,   9902, 
/* msg =    598, deg =  7 */   1577,   3126,   4582,   9115,   9491,   9901,   9928, 
/* msg =    599, deg =  7 */    673,   2196,   4794,   8485,   9338,   9450,   9696, 
/* msg =    600, deg =  7 */    383,   2447,   4299,   8425,   9196,   9224,   9456, 
/* msg =    601, deg =  7 */    565,   1896,   4978,   8939,   9177,   9543,   9760, 
/* msg =    602, deg =  7 */    702,   2021,   4047,   8894,   9216,   9783,   9898, 
/* msg =    603, deg =  7 */   1537,   2125,   3413,   8615,   9599,   9958,   9963, 
/* msg =    604, deg =  7 */    312,   2354,   4176,   8408,   9346,   9525,   9730, 
/* msg =    605, deg =  7 */    722,   1863,   4307,   8415,   9218,   9692,   9849, 
/* msg =    606, deg =  7 */   1631,   2929,   3569,   8357,   9207,   9351,   9573, 
/* msg =    607, deg =  7 */    668,   2119,   4660,   8443,   9677,   9713,   9817, 
/* msg =    608, deg =  7 */     61,   2390,   4968,   8576,   9634,   9737,   9936, 
/* msg =    609, deg =  7 */   1354,   1884,   4805,   8980,   9329,   9821,   9904, 
/* msg =    610, deg =  7 */    350,   3321,   4017,   8660,   9161,   9518,   9795, 
/* msg =    611, deg =  7 */     59,   2151,   4822,   8926,   9156,   9302,   9900, 
/* msg =    612, deg =  7 */   1475,   2417,   4347,   8714,   9532,   9719,   9848, 
/* msg =    613, deg =  7 */    302,   3215,   3663,   8826,   9205,   9361,   9484, 
/* msg =    614, deg =  7 */   1451,   3008,   4675,   8971,   9662,   9780,   9892, 
/* msg =    615, deg =  7 */   1124,   3244,   3676,   8361,   9178,   9754,   9842, 
/* msg =    616, deg =  7 */    232,   2477,   4079,   8755,   9205,   9256,   9964, 
/* msg =    617, deg =  7 */    733,   2716,   4979,   8956,   9343,   9641,   9687, 
/* msg =    618, deg =  7 */    657,   2816,   4712,   8531,   9229,   9582,   9967, 
/* msg =    619, deg =  7 */    884,   3072,   4828,   8417,   9365,   9465,   9935, 
/* msg =    620, deg =  7 */   1005,   2250,   3468,   8632,   9211,   9429,   9784, 
/* msg =    621, deg =  7 */   1111,   3194,   4698,   8433,   9189,   9300,   9844, 
/* msg =    622, deg =  7 */   1333,   2535,   3554,   8628,   9601,   9619,   9941, 
/* msg =    623, deg =  7 */    107,   2982,   4490,   8503,   9446,   9532,   9556, 
/* msg =    624, deg =  7 */    118,   2191,   4590,   9033,   9164,   9369,   9899, 
/* msg =    625, deg =  7 */    963,   1893,   4098,   9099,   9146,   9240,   9918, 
/* msg =    626, deg =  7 */   1150,   1835,   4914,   8321,   9263,   9537,   9909, 
/* msg =    627, deg =  7 */    631,   3243,   4580,   8430,   9186,   9195,   9381, 
/* msg =    628, deg =  7 */   1509,   3165,   3399,   8603,   9381,   9618,   9937, 
/* msg =    629, deg =  7 */    224,   2078,   3591,   8476,   9377,   9496,   9722, 
/* msg =    630, deg =  7 */   1107,   3175,   4939,   8384,   9612,   9788,   9940, 
/* msg =    631, deg =  7 */   1394,   2755,   4819,   8680,   9471,   9816,   9939, 
/* msg =    632, deg =  7 */     75,   2317,   4324,   8586,   9700,   9749,   9850, 
/* msg =    633, deg =  7 */   1321,   1766,   4960,   9123,   9158,   9408,   9891, 
/* msg =    634, deg =  7 */    126,   2039,   4957,   8428,   9155,   9238,   9775, 
/* msg =    635, deg =  7 */   1497,   2358,   4362,   8702,   9230,   9392,   9777, 
/* msg =    636, deg =  7 */   1565,   2684,   4518,   8829,   9367,   9734,   9880, 
/* msg =    637, deg =  7 */    536,   1738,   4445,   8446,   9323,   9476,   9736, 
/* msg =    638, deg =  7 */   1356,   2253,   4310,   8757,   9171,   9409,   9432, 
/* msg =    639, deg =  7 */   1200,   2385,   3946,   8885,   9503,   9749,   9810, 
/* msg =    640, deg =  7 */   1533,   3158,   3503,   8362,   9610,   9649,   9956, 
/* msg =    641, deg =  7 */    140,   2707,   3807,   8394,   9242,   9850,   9947, 
/* msg =    642, deg =  7 */   1523,   2324,   4612,   9079,   9335,   9565,   9739, 
/* msg =    643, deg =  7 */   1237,   2192,   4602,   8672,   9182,   9332,   9730, 
/* msg =    644, deg =  7 */   1574,   3114,   4330,   9041,   9607,   9686,   9860, 
/* msg =    645, deg =  7 */   1271,   2618,   4429,   8709,   9709,   9777,   9826, 
/* msg =    646, deg =  7 */   1576,   2582,   4536,   8638,   9148,   9285,   9693, 
/* msg =    647, deg =  7 */    329,   2844,   3507,   8725,   9199,   9662,   9911, 
/* msg =    648, deg =  7 */    174,   2046,   4295,   9086,   9234,   9402,   9815, 
/* msg =    649, deg =  7 */   1512,   2825,   3764,   8612,   9268,   9897,   9951, 
/* msg =    650, deg =  7 */   1266,   3151,   4785,   8999,   9335,   9820,   9887, 
/* msg =    651, deg =  7 */   1067,   2730,   4114,   8541,   9247,   9598,   9945, 
/* msg =    652, deg =  7 */   1299,   2748,   4256,   8566,   9334,   9400,   9725, 
/* msg =    653, deg =  7 */    213,   2717,   3667,   8668,   9598,   9715,   9852, 
/* msg =    654, deg =  7 */     76,   3023,   3538,   8521,   9295,   9431,   9466, 
/* msg =    655, deg =  7 */   1279,   1926,   3369,   8719,   9277,   9828,   9907, 
/* msg =    656, deg =  7 */   1402,   2734,   4400,   8510,   9187,   9461,   9660, 
/* msg =    657, deg =  7 */   1648,   3004,   4835,   8706,   9341,   9503,   9730, 
/* msg =    658, deg =  7 */   1095,   2176,   4263,   8981,   9394,   9566,   9785, 
/* msg =    659, deg =  7 */   1505,   1760,   3880,   8592,   9559,   9705,   9911, 
/* msg =    660, deg =  7 */    404,   3309,   4886,   8626,   9427,   9769,   9912, 
/* msg =    661, deg =  7 */    189,   3169,   3646,   8717,   9351,   9680,   9944, 
/* msg =    662, deg =  7 */   1371,   1918,   4405,   8328,   9307,   9333,   9538, 
/* msg =    663, deg =  7 */    300,   2407,   3374,   9113,   9281,   9506,   9783, 
/* msg =    664, deg =  7 */    950,   2895,   3982,   9034,   9408,   9490,   9495, 
/* msg =    665, deg =  7 */     11,   2406,   3470,   8837,   9211,   9558,   9673, 
/* msg =    666, deg =  7 */   1373,   3245,   4532,   8369,   9267,   9675,   9755, 
/* msg =    667, deg =  7 */    740,   1919,   3450,   9125,   9290,   9521,   9688, 
/* msg =    668, deg =  7 */    979,   2872,   4502,   8950,   9443,   9638,   9958, 
/* msg =    669, deg =  7 */    623,   2346,   4905,   8713,   9719,   9841,   9868, 
/* msg =    670, deg =  7 */    401,   2558,   4314,   8512,   9257,   9331,   9346, 
/* msg =    671, deg =  7 */    708,   3025,   3691,   8693,   9391,   9398,   9847, 
/* msg =    672, deg =  7 */    373,   2453,   3994,   8767,   9511,   9624,   9659, 
/* msg =    673, deg =  7 */   1032,   2208,   3934,   9032,   9175,   9547,   9917, 
/* msg =    674, deg =  7 */   1458,   1937,   3838,   8464,   9685,   9718,   9753, 
/* msg =    675, deg =  7 */    280,   2774,   3855,   8965,   9372,   9373,   9949, 
/* msg =    676, deg =  7 */    372,   3273,   3905,   8418,   9275,   9624,   9866, 
/* msg =    677, deg =  7 */    362,   1771,   4154,   8498,   9197,   9515,   9617, 
/* msg =    678, deg =  7 */   1430,   1830,   4907,   8661,   9223,   9289,   9781, 
/* msg =    679, deg =  7 */   1483,   2975,   3469,   8977,   9679,   9797,   9827, 
/* msg =    680, deg =  7 */    172,   2572,   3832,   8940,   9212,   9703,   9961, 
/* msg =    681, deg =  7 */     95,   2742,   4607,   8581,   9206,   9573,   9807, 
/* msg =    682, deg =  7 */    830,   1980,   4554,   8932,   9486,   9713,   9815, 
/* msg =    683, deg =  7 */    677,   1992,   4346,   8606,   9474,   9582,   9683, 
/* msg =    684, deg =  7 */     13,   1904,   4343,   8900,   9166,   9288,   9859, 
/* msg =    685, deg =  7 */    474,   2396,   4033,   8429,   9158,   9587,   9735, 
/* msg =    686, deg =  7 */    515,   1972,   3896,   8401,   9339,   9417,   9624, 
/* msg =    687, deg =  7 */    859,   3120,   4196,   9045,   9501,   9750,   9865, 
/* msg =    688, deg =  7 */   1260,   2316,   4817,   8358,   9489,   9665,   9883, 
/* msg =    689, deg =  7 */   1079,   3067,   4941,   8964,   9159,   9679,   9853, 
/* msg =    690, deg =  7 */    878,   2050,   4166,   9074,   9393,   9713,   9746, 
/* msg =    691, deg =  7 */    593,   3179,   3921,   9006,   9263,   9286,   9706, 
/* msg =    692, deg =  7 */   1212,   1975,   3828,   8342,   9340,   9878,   9886, 
/* msg =    693, deg =  7 */    850,   2260,   4193,   8316,   9277,   9539,   9899, 
/* msg =    694, deg =  7 */    927,   3010,   3760,   8873,   9517,   9661,   9791, 
/* msg =    695, deg =  7 */    360,   1820,   4703,   8340,   9369,   9667,   9800, 
/* msg =    696, deg =  7 */   1579,   2464,   4022,   8426,   9607,   9845,   9888, 
/* msg =    697, deg =  7 */    502,   2361,   4500,   9000,   9441,   9486,   9822, 
/* msg =    698, deg =  7 */    739,   2367,   3358,   8454,   9328,   9379,   9652, 
/* msg =    699, deg =  7 */    580,   2714,   3511,   8355,   9499,   9560,   9923, 
/* msg =    700, deg =  7 */   1202,   2149,   4165,   8922,   9348,   9570,   9606, 
/* msg =    701, deg =  7 */   1194,   2088,   3700,   8563,   9380,   9745,   9916, 
/* msg =    702, deg =  7 */    212,   1679,   4891,   9080,   9146,   9254,   9838, 
/* msg =    703, deg =  7 */      6,   2134,   4734,   8927,   9426,   9524,   9933, 
/* msg =    704, deg =  7 */    510,   2127,   4162,   8451,   9300,   9868,   9915, 
/* msg =    705, deg =  7 */   1222,   2022,   3350,   8654,   9144,   9449,   9817, 
/* msg =    706, deg =  7 */    634,   2054,   3376,   8546,   9671,   9698,   9887, 
/* msg =    707, deg =  7 */    953,   3180,   4113,   8457,   9153,   9645,   9792, 
/* msg =    708, deg =  7 */    635,   2788,   3675,   8968,   9298,   9368,   9387, 
/* msg =    709, deg =  7 */   1060,   1731,   4808,   8700,   9469,   9491,   9568, 
/* msg =    710, deg =  7 */    573,   3192,   3508,   9059,   9346,   9438,   9616, 
/* msg =    711, deg =  7 */   1249,   1934,   4774,   8764,   9523,   9615,   9790, 
/* msg =    712, deg =  7 */    145,   2835,   4224,   8539,   9323,   9527,   9604, 
/* msg =    713, deg =  7 */   1179,   3163,   4091,   8670,   9353,   9355,   9945, 
/* msg =    714, deg =  7 */    275,   2166,   3718,   9105,   9322,   9324,   9891, 
/* msg =    715, deg =  7 */    521,   2348,   4563,   8919,   9198,   9954,   9961, 
/* msg =    716, deg =  7 */    465,   2444,   4374,   8360,   9258,   9509,   9561, 
/* msg =    717, deg =  7 */   1369,   2469,   4710,   8565,   9174,   9558,   9581, 
/* msg =    718, deg =  7 */   1628,   2999,   4931,   8492,   9264,   9725,   9844, 
/* msg =    719, deg =  7 */    766,   2568,   4786,   8875,   9186,   9596,   9756, 
/* msg =    720, deg =  7 */    847,   2959,   3464,   8743,   9150,   9328,   9912, 
/* msg =    721, deg =  7 */    269,   1991,   4792,   8591,   9397,   9617,   9955, 
/* msg =    722, deg =  7 */      8,   2263,   4784,   8664,   9614,   9812,   9932, 
/* msg =    723, deg =  7 */    579,   3124,   3870,   9031,   9387,   9422,   9481, 
/* msg =    724, deg =  7 */    879,   2739,   3666,   8434,   9176,   9690,   9859, 
/* msg =    725, deg =  7 */   1021,   2802,   3683,   8861,   9269,   9738,   9758, 
/* msg =    726, deg =  7 */   1421,   3204,   3636,   8696,   9314,   9416,   9763, 
/* msg =    727, deg =  7 */    453,   2910,   4349,   8382,   9717,   9866,   9919, 
/* msg =    728, deg =  7 */   1351,   2269,   4465,   8838,   9458,   9904,   9937, 
/* msg =    729, deg =  7 */    785,   2223,   4393,   8676,   9381,   9537,   9557, 
/* msg =    730, deg =  7 */    650,   2554,   4657,   8972,   9222,   9254,   9509, 
/* msg =    731, deg =  7 */   1139,   3266,   4453,   8839,   9551,   9761,   9766, 
/* msg =    732, deg =  7 */    458,   2953,   4198,   8878,   9442,   9565,   9856, 
/* msg =    733, deg =  7 */    575,   2651,   3597,   8673,   9291,   9396,   9507, 
/* msg =    734, deg =  7 */    281,   1752,   4953,   8907,   9183,   9536,   9903, 
/* msg =    735, deg =  7 */    881,   2845,   4615,   9126,   9729,   9815,   9834, 
/* msg =    736, deg =  7 */   1590,   2550,   3428,   8879,   9302,   9428,   9733, 
/* msg =    737, deg =  7 */   1544,   2424,   4558,   8441,   9180,   9421,   9552, 
/* msg =    738, deg =  7 */    587,   2200,   4912,   8410,   9238,   9299,   9715, 
/* msg =    739, deg =  7 */    698,   1730,   3352,   8463,   9402,   9562,   9899, 
/* msg =    740, deg =  7 */    311,   2766,   4722,   8821,   9255,   9675,   9837, 
/* msg =    741, deg =  7 */   1025,   2064,   3576,   9085,   9152,   9322,   9560, 
/* msg =    742, deg =  7 */     74,   2171,   4701,   8620,   9419,   9538,   9757, 
/* msg =    743, deg =  7 */   1332,   3094,   4387,   8835,   9373,   9419,   9656, 
/* msg =    744, deg =  7 */    544,   1749,   4455,   8996,   9163,   9189,   9667, 
/* msg =    745, deg =  7 */   1280,   1950,   3427,   8895,   9558,   9695,   9877, 
/* msg =    746, deg =  7 */   1020,   2529,   4761,   8505,   9157,   9272,   9433, 
/* msg =    747, deg =  7 */   1395,   2637,   4095,   8629,   9362,   9803,   9939, 
/* msg =    748, deg =  7 */   1302,   2824,   4417,   8573,   9411,   9459,   9880, 
/* msg =    749, deg =  7 */   1350,   2620,   3477,   8436,   9190,   9293,   9394, 
/* msg =    750, deg =  7 */     46,   1715,   4651,   8777,   9686,   9774,   9786, 
/* msg =    751, deg =  7 */   1640,   3132,   4076,   8625,   9297,   9413,   9414, 
/* msg =    752, deg =  7 */   1591,   2035,   3330,   8659,   9210,   9635,   9918, 
/* msg =    753, deg =  7 */    951,   1996,   3690,   8813,   9219,   9316,   9679, 
/* msg =    754, deg =  7 */    862,   2015,   3533,   8413,   9465,   9890,   9956, 
/* msg =    755, deg =  7 */   1595,   2645,   4572,   9102,   9217,   9653,   9685, 
/* msg =    756, deg =  7 */    278,   3087,   4268,   8986,   9712,   9752,   9948, 
/* msg =    757, deg =  7 */   1116,   1826,   4073,   9040,   9424,   9457,   9583, 
/* msg =    758, deg =  7 */    581,   3131,   4383,   8496,   9214,   9414,   9575, 
/* msg =    759, deg =  7 */    851,   2249,   3890,   8588,   9181,   9297,   9826, 
/* msg =    760, deg =  7 */    975,   2288,   4493,   9124,   9162,   9200,   9645, 
/* msg =    761, deg =  7 */   1348,   1800,   3517,   8921,   9191,   9309,   9478, 
/* msg =    762, deg =  7 */   1642,   3167,   3981,   8666,   9161,   9278,   9281, 
/* msg =    763, deg =  7 */    117,   1720,   3968,   8456,   9409,   9799,   9800, 
/* msg =    764, deg =  7 */    262,   2781,   4745,   8379,   9233,   9274,   9677, 
/* msg =    765, deg =  7 */    227,   2796,   4831,   8490,   9178,   9406,   9788, 
/* msg =    766, deg =  7 */   1599,   2366,   3927,   9020,   9277,   9449,   9889, 
/* msg =    767, deg =  7 */   1180,   3253,   4909,   9051,   9296,   9457,   9787, 
/* msg =    768, deg =  7 */   1105,   2339,   4767,   8312,   9690,   9735,   9932, 
/* msg =    769, deg =  7 */    696,   2865,   4724,   8590,   9257,   9587,   9898, 
/* msg =    770, deg =  7 */    359,   2456,   4823,   8637,   9237,   9363,   9838, 
/* msg =    771, deg =  7 */    914,   2319,   3657,   8630,   9512,   9590,   9943, 
/* msg =    772, deg =  7 */    168,   3183,   3816,   8697,   9275,   9519,   9908, 
/* msg =    773, deg =  7 */    954,   2320,   3791,   8789,   9485,   9672,   9886, 
/* msg =    774, deg =  7 */    150,   3265,   4305,   9060,   9157,   9286,   9506, 
/* msg =    775, deg =  7 */   1413,   2658,   3496,   8575,   9490,   9704,   9741, 
/* msg =    776, deg =  7 */    578,   3201,   3565,   8902,   9154,   9169,   9603, 
/* msg =    777, deg =  7 */   1188,   3021,   4600,   8337,   9544,   9767,   9946, 
/* msg =    778, deg =  7 */   1619,   2649,   3509,   8419,   9522,   9563,   9839, 
/* msg =    779, deg =  7 */    662,   2883,   4119,   8513,   9174,   9745,   9790, 
/* msg =    780, deg =  7 */    316,   2815,   3694,   9111,   9632,   9664,   9697, 
/* msg =    781, deg =  7 */   1593,   1809,   3785,   8976,   9304,   9531,   9564, 
/* msg =    782, deg =  7 */    114,   2329,   4771,   8317,   9184,   9250,   9798, 
/* msg =    783, deg =  7 */     67,   2754,   4016,   8423,   9221,   9385,   9498, 
/* msg =    784, deg =  7 */   1339,   2762,   3561,   8998,   9590,   9647,   9904, 
/* msg =    785, deg =  7 */     14,   2028,   4468,   9010,   9396,   9571,   9597, 
/* msg =    786, deg =  7 */    976,   3059,   4281,   8797,   9184,   9282,   9890, 
/* msg =    787, deg =  7 */     41,   2938,   4253,   8768,   9397,   9743,   9834, 
/* msg =    788, deg =  7 */      3,   3113,   3525,   8983,   9457,   9505,   9582, 
/* msg =    789, deg =  7 */    665,   2485,   4783,   8336,   9284,   9843,   9885, 
/* msg =    790, deg =  7 */    499,   1782,   3661,   8765,   9209,   9260,   9871, 
/* msg =    791, deg =  7 */    643,   2029,   4149,   8912,   9159,   9258,   9684, 
/* msg =    792, deg =  7 */   1344,   1693,   4111,   9128,   9544,   9673,   9839, 
/* msg =    793, deg =  7 */    987,   1849,   4936,   9134,   9344,   9354,   9857, 
/* msg =    794, deg =  7 */    396,   2049,   3873,   8698,   9513,   9579,   9938, 
/* msg =    795, deg =  7 */    405,   3073,   3864,   9136,   9846,   9855,   9876, 
/* msg =    796, deg =  7 */    386,   2803,   3333,   9055,   9311,   9682,   9714, 
/* msg =    797, deg =  7 */    287,   1819,   3703,   8341,   9179,   9534,   9627, 
/* msg =    798, deg =  7 */    519,   2051,   4727,   8483,   9223,   9740,   9768, 
/* msg =    799, deg =  7 */    770,   2112,   4414,   9039,   9382,   9410,   9915, 
/* msg =    800, deg =  7 */   1661,   1737,   4848,   9135,   9267,   9442,   9546, 
/* msg =    801, deg =  7 */    125,   2721,   3955,   8716,   9323,   9526,   9864, 
/* msg =    802, deg =  7 */   1190,   1765,   3812,   9026,   9435,   9541,   9760, 
/* msg =    803, deg =  7 */    918,   3146,   3440,   8774,   9435,   9448,   9848, 
/* msg =    804, deg =  7 */   1630,   2704,   3587,   8686,   9366,   9401,   9779, 
/* msg =    805, deg =  7 */    831,   2937,   3429,   8614,   9422,   9505,   9594, 
/* msg =    806, deg =  7 */   1442,   2795,   3571,   8993,   9268,   9321,   9549, 
/* msg =    807, deg =  7 */   1594,   3306,   3494,   8570,   9250,   9312,   9383, 
/* msg =    808, deg =  7 */    886,   3062,   4440,   8504,   9759,   9844,   9959, 
/* msg =    809, deg =  7 */   1002,   2819,   4398,   9139,   9239,   9415,   9611, 
/* msg =    810, deg =  7 */    917,   1876,   4085,   8848,   9143,   9225,   9463, 
/* msg =    811, deg =  7 */   1305,   2517,   3578,   8334,   9270,   9488,   9835, 
/* msg =    812, deg =  7 */    960,   2059,   4873,   8846,   9421,   9569,   9867, 
/* msg =    813, deg =  7 */    630,   2499,   4900,   8694,   9360,   9405,   9711, 
/* msg =    814, deg =  7 */    620,   2811,   4210,   8522,   9260,   9965,   9966, 
/* msg =    815, deg =  7 */    155,   2283,   4883,   9030,   9226,   9661,   9791, 
/* msg =    816, deg =  7 */   1278,   2565,   3952,   8545,   9754,   9774,   9896, 
/* msg =    817, deg =  7 */   1184,   2980,   3660,   8958,   9476,   9607,   9663, 
/* msg =    818, deg =  7 */   1203,   2124,   4728,   9110,   9342,   9660,   9753, 
/* msg =    819, deg =  7 */   1436,   2246,   3769,   8597,   9253,   9330,   9807, 
/* msg =    820, deg =  7 */   1215,   1711,   4659,   8708,   9446,   9451,   9969, 
/* msg =    821, deg =  7 */   1017,   1977,   4918,   8405,   9275,   9445,   9547, 
/* msg =    822, deg =  7 */     63,   1694,   4289,   8703,   9296,   9407,   9573, 
/* msg =    823, deg =  7 */   1364,   1777,   3862,   9116,   9481,   9526,   9802, 
/* msg =    824, deg =  7 */     42,   1687,   4041,   8489,   9329,   9343,   9413, 
/* msg =    825, deg =  7 */    666,   3259,   4008,   8390,   9189,   9549,   9642, 
/* msg =    826, deg =  7 */    694,   2699,   4880,   9114,   9636,   9711,   9789, 
/* msg =    827, deg =  7 */    237,   3060,   3669,   8439,   9157,   9349,   9780, 
/* msg =    828, deg =  7 */    166,   1768,   3349,   8331,   9150,   9468,   9798, 
/* msg =    829, deg =  7 */   1492,   2570,   4357,   9077,   9188,   9609,   9697, 
/* msg =    830, deg =  7 */   1175,   2809,   4588,   8411,   9185,   9395,   9603, 
/* msg =    831, deg =  7 */   1382,   1979,   4740,   9224,   9408,   9491,   9554, 
/* msg =    832, deg =  7 */    106,   2993,   4479,   9152,   9449,   9574,   9888, 
/* msg =    833, deg =  7 */   1033,   2105,   4857,   9163,   9534,   9587,   9928, 
/* msg =    834, deg =  7 */   1435,   2540,   4280,   9372,   9404,   9501,   9675, 
/* msg =    835, deg =  7 */    343,   2203,   3967,   9141,   9541,   9825,   9971, 
/* msg =    836, deg =  7 */    342,   1689,   3442,   9586,   9704,   9823,   9938, 
/* msg =    837, deg =  7 */   1443,   2497,   4870,   9191,   9320,   9626,   9740, 
/* msg =    838, deg =  7 */    911,   1695,   4211,   9397,   9400,   9461,   9573, 
/* msg =    839, deg =  7 */    747,   1941,   4064,   9153,   9433,   9826,   9845, 
/* msg =    840, deg =  7 */    842,   2991,   4087,   9351,   9474,   9794,   9796, 
/* msg =    841, deg =  7 */    179,   2145,   4820,   9512,   9812,   9940,   9943, 
/* msg =    842, deg =  7 */    586,   1949,   3988,   9251,   9437,   9794,   9969, 
/* msg =    843, deg =  7 */   1091,   3109,   3878,   9287,   9353,   9357,   9565, 
/* msg =    844, deg =  7 */   1014,   1712,   4050,   9312,   9362,   9682,   9814, 
/* msg =    845, deg =  7 */   1232,   2397,   3648,   9245,   9414,   9443,   9621, 
/* msg =    846, deg =  7 */    795,   1704,   3575,   9165,   9183,   9482,   9911, 
/* msg =    847, deg =  7 */    439,   2347,   3678,   9198,   9244,   9553,   9773, 
/* msg =    848, deg =  7 */    618,   2140,   4733,   9145,   9478,   9565,   9876, 
/* msg =    849, deg =  7 */    443,   3227,   4729,   9173,   9293,   9795,   9933, 
/* msg =    850, deg =  7 */   1198,   2315,   4389,   9256,   9593,   9758,   9950, 
/* msg =    851, deg =  7 */    511,   2227,   4266,   9201,   9413,   9621,   9737, 
/* msg =    852, deg =  7 */    341,   1677,   3759,   9280,   9330,   9460,   9875, 
/* msg =    853, deg =  7 */    392,   3035,   3521,   9219,   9449,   9691,   9821, 
/* msg =    854, deg =  7 */    334,   3237,   4864,   9318,   9490,   9578,   9717, 
/* msg =    855, deg =  7 */   1171,   2899,   3971,   9371,   9629,   9829,   9869, 
/* msg =    856, deg =  7 */   1317,   1751,   4617,   9288,   9309,   9439,   9640, 
/* msg =    857, deg =  7 */     31,   3090,   4571,   9189,   9492,   9735,   9959, 
/* msg =    858, deg =  7 */   1552,   3218,   3889,   9196,   9476,   9564,   9968, 
/* msg =    859, deg =  7 */   1655,   2892,   3799,   9154,   9521,   9822,   9885, 
/* msg =    860, deg =  7 */    471,   2530,   4744,   9254,   9283,   9325,   9424, 
/* msg =    861, deg =  7 */    767,   2808,   4333,   9260,   9779,   9892,   9902, 
/* msg =    862, deg =  7 */    381,   3231,   4628,   9272,   9482,   9571,   9636, 
/* msg =    863, deg =  7 */    834,   2599,   4866,   9304,   9537,   9594,   9598, 
/* msg =    864, deg =  7 */    890,   2197,   4876,   9254,   9430,   9744,   9753, 
/* msg =    865, deg =  7 */    185,   2965,   4231,   9336,   9545,   9778,   9952, 
/* msg =    866, deg =  7 */    532,   2666,   4553,   9211,   9477,   9612,   9927, 
/* msg =    867, deg =  7 */   1580,   2514,   4718,   9339,   9484,   9616,   9731, 
/* msg =    868, deg =  7 */   1526,   3191,   4181,   9291,   9657,   9665,   9814, 
/* msg =    869, deg =  7 */    737,   3217,   4832,   9440,   9508,   9536,   9903, 
/* msg =    870, deg =  7 */    295,   1898,   4036,   9146,   9186,   9765,   9793, 
/* msg =    871, deg =  7 */   1391,   2946,   3914,   9146,   9444,   9533,   9940, 
/* msg =    872, deg =  7 */   1372,   1989,   4197,   9247,   9559,   9788,   9956, 
/* msg =    873, deg =  7 */   1187,   2677,   4241,   9404,   9923,   9958,   9962, 
/* msg =    874, deg =  7 */     79,   2353,   3910,   9240,   9332,   9432,   9863, 
/* msg =    875, deg =  7 */    939,   1729,   3757,   9535,   9641,   9807,   9820, 
/* msg =    876, deg =  7 */    798,   2701,   4652,   9355,   9548,   9613,   9702, 
/* msg =    877, deg =  7 */    339,   1956,   4780,   9259,   9333,   9572,   9645, 
/* msg =    878, deg =  7 */   1023,   2114,   3375,   9401,   9476,   9679,   9719, 
/* msg =    879, deg =  7 */    928,   2133,   4702,   9300,   9656,   9797,   9825, 
/* msg =    880, deg =  7 */     89,   3320,   4011,   9153,   9319,   9930,   9962, 
/* msg =    881, deg =  7 */    313,   1772,   3916,   9146,   9360,   9581,   9729, 
/* msg =    882, deg =  7 */    207,   2247,   4368,   9197,   9265,   9282,   9792, 
/* msg =    883, deg =  7 */    775,   1663,   4695,   9151,   9342,   9468,   9729, 
/* msg =    884, deg =  7 */    753,   1827,   4096,   9142,   9419,   9699,   9746, 
/* msg =    885, deg =  7 */    489,   2686,   4916,   9204,   9506,   9619,   9806, 
/* msg =    886, deg =  7 */   1185,   2534,   4186,   9201,   9209,   9277,   9819, 
/* msg =    887, deg =  7 */    273,   3313,   3999,   9291,   9328,   9431,   9702, 
/* msg =    888, deg =  7 */    490,   2706,   3475,   9216,   9273,   9390,   9493, 
/* msg =    889, deg =  7 */   1448,   2461,   4851,   9460,   9588,   9732,   9775, 
/* msg =    890, deg =  7 */    537,   1767,   3535,   9322,   9496,   9646,   9754, 
/* msg =    891, deg =  7 */    357,   2430,   3463,   9254,   9310,   9458,   9566, 
/* msg =    892, deg =  7 */    377,   2627,   4654,   9154,   9334,   9341,   9634, 
/* msg =    893, deg =  7 */    289,   2076,   3391,   9202,   9287,   9302,   9893, 
/* msg =    894, deg =  7 */   1287,   1818,   3950,   9274,   9371,   9398,   9569, 
/* msg =    895, deg =  7 */    736,   2585,   3894,   9200,   9592,   9645,   9678, 
/* msg =    896, deg =  7 */    291,   2403,   4155,   9298,   9457,   9574,   9576, 
/* msg =    897, deg =  7 */   1227,   1690,   3373,   9321,   9350,   9621,   9832, 
/* msg =    898, deg =  7 */    321,   2280,   4477,   9311,   9450,   9751,   9791, 
/* msg =    899, deg =  7 */    412,   3288,   4294,   9246,   9568,   9843,   9894, 
/* msg =    900, deg =  7 */   1559,   2631,   3422,   9177,   9369,   9600,   9930, 
/* msg =    901, deg =  7 */   1157,   2864,   3947,   9832,   9872,   9919,   9959, 
/* msg =    902, deg =  7 */   1490,   2181,   4915,   9415,   9665,   9814,   9829, 
/* msg =    903, deg =  7 */    201,   3251,   4648,   9150,   9426,   9745,   9915, 
/* msg =    904, deg =  7 */   1473,   2764,   3984,   9164,   9326,   9499,   9614, 
/* msg =    905, deg =  7 */   1007,   2193,   3772,   9208,   9561,   9656,   9951, 
/* msg =    906, deg =  7 */   1257,   1776,   3782,   9269,   9328,   9484,   9816, 
/* msg =    907, deg =  7 */   1024,   2174,   4355,   9630,   9726,   9741,   9854, 
/* msg =    908, deg =  7 */   1453,   2505,   4885,   9389,   9603,   9880,   9904, 
/* msg =    909, deg =  7 */   1238,   2941,   4810,   9406,   9474,   9686,   9928, 
/* msg =    910, deg =  7 */   1334,   1803,   3631,   9211,   9446,   9493,   9794, 
/* msg =    911, deg =  7 */    137,   2429,   3771,   9220,   9475,   9573,   9688, 
/* msg =    912, deg =  7 */    849,   2281,   3343,   9313,   9324,   9342,   9605, 
/* msg =    913, deg =  7 */    143,   2251,   3344,   9192,   9462,   9510,   9916, 
/* msg =    914, deg =  7 */    805,   2773,   3334,   9170,   9432,   9453,   9465, 
/* msg =    915, deg =  7 */   1326,   2963,   4269,   9231,   9298,   9305,   9853, 
/* msg =    916, deg =  7 */    856,   3088,   3493,   9535,   9540,   9558,   9728, 
/* msg =    917, deg =  7 */   1035,   2104,   3867,   9712,   9833,   9899,   9922, 
/* msg =    918, deg =  7 */   1149,   2957,   4789,   9176,   9327,   9397,   9840, 
/* msg =    919, deg =  7 */    158,   1801,   4523,   9175,   9265,   9451,   9623, 
/* msg =    920, deg =  7 */    667,   2155,   4380,   9480,   9539,   9904,   9927, 
/* msg =    921, deg =  7 */     93,   2492,   4262,   9286,   9354,   9424,   9668, 
/* msg =    922, deg =  7 */     12,   1665,   4168,   9238,   9252,   9314,   9670, 
/* msg =    923, deg =  7 */    157,   3193,   3387,   9440,   9470,   9716,   9743, 
/* msg =    924, deg =  7 */   1176,   2330,   4661,   9158,   9295,   9576,   9893, 
/* msg =    925, deg =  7 */   1510,   2715,   4202,   9290,   9689,   9768,   9950, 
/* msg =    926, deg =  7 */     48,   2678,   3938,   9250,   9297,   9353,   9908, 
/* msg =    927, deg =  7 */   1133,   2662,   4055,   9178,   9292,   9334,   9930, 
/* msg =    928, deg =  7 */   1209,   2537,   3489,   9558,   9576,   9669,   9800, 
/* msg =    929, deg =  7 */   1445,   2332,   4981,   9405,   9828,   9830,   9860, 
/* msg =    930, deg =  7 */    277,   2294,   3380,   9168,   9367,   9543,   9840, 
/* msg =    931, deg =  7 */   1623,   2277,   4436,   9334,   9494,   9552,   9846, 
/* msg =    932, deg =  7 */   1058,   3084,   4054,   9354,   9412,   9567,   9792, 
/* msg =    933, deg =  7 */    789,   1929,   3798,   9241,   9628,   9835,   9868, 
/* msg =    934, deg =  7 */   1028,   3285,   3643,   9144,   9173,   9744,   9936, 
/* msg =    935, deg =  7 */    786,   3052,   3753,   9216,   9627,   9647,   9776, 
/* msg =    936, deg =  7 */    921,   2967,   4124,   9206,   9703,   9781,   9884, 
/* msg =    937, deg =  7 */   1228,   3047,   3847,   9385,   9744,   9784,   9934, 
/* msg =    938, deg =  7 */   1136,   3210,   4647,   9194,   9247,   9530,   9857, 
/* msg =    939, deg =  7 */    120,   1664,   4716,   9162,   9376,   9672,   9852, 
/* msg =    940, deg =  7 */    353,   3317,   4301,   9445,   9630,   9720,   9737, 
/* msg =    941, deg =  7 */    551,   2930,   4419,   9292,   9315,   9394,   9486, 
/* msg =    942, deg =  7 */      2,   2111,   4483,   9199,   9275,   9882,   9959, 
/* msg =    943, deg =  7 */   1137,   1739,   3990,   9207,   9316,   9767,   9907, 
/* msg =    944, deg =  7 */   1057,   2345,   3520,   9180,   9335,   9364,   9696, 
/* msg =    945, deg =  7 */     32,   2848,   4561,   9339,   9349,   9438,   9736, 
/* msg =    946, deg =  7 */    290,   3203,   4665,   9638,   9803,   9882,   9893, 
/* msg =    947, deg =  7 */    252,   2409,   4793,   9266,   9727,   9783,   9863, 
/* msg =    948, deg =  7 */   1503,   3076,   3996,   9194,   9579,   9761,   9967, 
/* msg =    949, deg =  7 */   1083,   1667,   4273,   9357,   9493,   9712,   9871, 
/* msg =    950, deg =  7 */     58,   1683,   4937,   9188,   9514,   9712,   9762, 
/* msg =    951, deg =  7 */   1598,   1757,   4326,   9669,   9675,   9789,   9853, 
/* msg =    952, deg =  7 */   1601,   1707,   3903,   9252,   9381,   9574,   9951, 
/* msg =    953, deg =  7 */    995,   1684,   4735,   9147,   9435,   9607,   9962, 
/* msg =    954, deg =  7 */    764,   3277,   4593,   9477,   9539,   9557,   9568, 
/* msg =    955, deg =  7 */    349,   2153,   4739,   9198,   9245,   9339,   9671, 
/* msg =    956, deg =  7 */    617,   1713,   4239,   9183,   9468,   9651,   9741, 
/* msg =    957, deg =  7 */    727,   3292,   3932,   9257,   9396,   9599,   9934, 
/* msg =    958, deg =  7 */   1297,   3046,   4322,   9226,   9832,   9889,   9970, 
/* msg =    959, deg =  7 */   1581,   2038,   3725,   9399,   9429,   9431,   9942, 
/* msg =    960, deg =  7 */    422,   1907,   4839,   9178,   9228,   9725,   9812, 
/* msg =    961, deg =  7 */   1162,   1928,   4427,   9412,   9638,   9740,   9769, 
/* msg =    962, deg =  7 */    130,   2290,   4920,   9286,   9440,   9531,   9835, 
/* msg =    963, deg =  7 */    286,   2613,   4051,   9161,   9241,   9269,   9658, 
/* msg =    964, deg =  7 */   1229,   2625,   3393,   9299,   9580,   9884,   9950, 
/* msg =    965, deg =  7 */   1549,   2878,   4152,   9319,   9495,   9659,   9881, 
/* msg =    966, deg =  7 */     82,   2410,   4908,   9387,   9407,   9761,   9955, 
/* msg =    967, deg =  7 */   1485,   2523,   3619,   9305,   9437,   9589,   9866, 
/* msg =    968, deg =  7 */    632,   3236,   4192,   9448,   9585,   9676,   9774, 
/* msg =    969, deg =  7 */   1408,   1701,   4505,   9213,   9365,   9624,   9790, 
/* msg =    970, deg =  7 */     73,   2144,   4550,   9487,   9571,   9765,   9787, 
/* msg =    971, deg =  7 */   1027,   2008,   3573,   9291,   9397,   9771,   9909, 
/* msg =    972, deg =  7 */   1304,   3296,   3611,   9163,   9532,   9774,   9844, 
/* msg =    973, deg =  7 */   1154,   3314,   4527,   9364,   9671,   9914,   9965, 
/* msg =    974, deg =  7 */    895,   1787,   4491,   9216,   9278,   9609,   9627, 
/* msg =    975, deg =  7 */   1614,   2205,   4366,   9461,   9565,   9615,   9711, 
/* msg =    976, deg =  7 */   1114,   2508,   3345,   9224,   9337,   9363,   9734, 
/* msg =    977, deg =  7 */    672,   2195,   4799,   9435,   9458,   9627,   9865, 
/* msg =    978, deg =  7 */   1313,   2543,   4904,   9176,   9203,   9598,   9663, 
/* msg =    979, deg =  7 */   1093,   2293,   3400,   9498,   9543,   9544,   9776, 
/* msg =    980, deg =  7 */     20,   2633,   3329,   9428,   9492,   9566,   9755, 
/* msg =    981, deg =  7 */     23,   1841,   4807,   9181,   9218,   9451,   9870, 
/* msg =    982, deg =  7 */   1269,   3212,   4434,   9232,   9466,   9562,   9866, 
/* msg =    983, deg =  7 */   1036,   2569,   4378,   9229,   9433,   9711,   9786, 
/* msg =    984, deg =  7 */    656,   2460,   4228,   9340,   9393,   9568,   9687, 
/* msg =    985, deg =  7 */    715,   3071,   4705,   9379,   9395,   9570,   9585, 
/* msg =    986, deg =  7 */   1010,   2033,   4151,   9403,   9618,   9668,   9694, 
/* msg =    987, deg =  7 */   1407,   1970,   3480,   9374,   9405,   9815,   9884, 
/* msg =    988, deg =  7 */    238,   1769,   3751,   9166,   9183,   9461,   9639, 
/* msg =    989, deg =  7 */    907,   2595,   3930,   9532,   9549,   9843,   9907, 
/* msg =    990, deg =  7 */    266,   2758,   4544,   9445,   9464,   9606,   9862, 
/* msg =    991, deg =  7 */   1585,   2274,   4949,   9318,   9656,   9799,   9878, 
/* msg =    992, deg =  7 */    363,   3241,   4574,   9609,   9777,   9921,   9963, 
/* msg =    993, deg =  7 */    254,   2232,   4000,   9373,   9692,   9702,   9725, 
/* msg =    994, deg =  7 */    487,   2115,   4213,   9425,   9676,   9688,   9956, 
/* msg =    995, deg =  7 */   1454,   2357,   3438,   9239,   9251,   9310,   9497, 
/* msg =    996, deg =  7 */    649,   2831,   4770,   9220,   9513,   9569,   9922, 
/* msg =    997, deg =  7 */   1399,   3242,   3404,   9350,   9492,   9529,   9606, 
/* msg =    998, deg =  7 */   1164,   2291,   4184,   9330,   9499,   9810,   9887, 
/* msg =    999, deg =  7 */    816,   3036,   4396,   9227,   9251,   9454,   9541, 
/* msg =   1000, deg =  7 */    457,   2266,   4894,   9176,   9249,   9575,   9650, 
/* msg =   1001, deg =  7 */    259,   2868,   3839,   9356,   9672,   9828,   9898, 
/* msg =   1002, deg =  7 */   1336,   2304,   4715,   9241,   9272,   9695,   9782, 
/* msg =   1003, deg =  7 */    734,   1895,   3929,   9361,   9596,   9655,   9924, 
/* msg =   1004, deg =  7 */   1507,   2097,   4212,   9348,   9629,   9797,   9899, 
/* msg =   1005, deg =  7 */   1387,   3129,   3762,   9143,   9264,   9276,   9818, 
/* msg =   1006, deg =  7 */   1319,   2894,   3645,   9415,   9680,   9761,   9965, 
/* msg =   1007, deg =  7 */   1126,   2810,   4313,   9395,   9551,   9673,   9872, 
/* msg =   1008, deg =  7 */    148,   2107,   3710,   9247,   9500,   9704,   9819, 
/* msg =   1009, deg =  7 */   1481,   2292,   4663,   9193,   9569,   9836,   9905, 
/* msg =   1010, deg =  7 */   1029,   2226,   4969,   9147,   9437,   9583,   9710, 
/* msg =   1011, deg =  7 */    228,   2769,   4569,   9321,   9601,   9778,   9813, 
/* msg =   1012, deg =  7 */   1261,   3157,   3425,   9365,   9413,   9806,   9821, 
/* msg =   1013, deg =  7 */    426,   3300,   3732,   9632,   9774,   9873,   9925, 
/* msg =   1014, deg =  7 */    369,   3061,   4334,   9512,   9586,   9698,   9741, 
/* msg =   1015, deg =  7 */    972,   3026,   4147,   9151,   9449,   9631,   9745, 
/* msg =   1016, deg =  7 */    711,   2518,   4026,   9190,   9527,   9537,   9710, 
/* msg =   1017, deg =  7 */    932,   2688,   4856,   9279,   9525,   9644,   9837, 
/* msg =   1018, deg =  7 */   1106,   3195,   3728,   9371,   9510,   9529,   9610, 
/* msg =   1019, deg =  7 */    241,   2971,   4884,   9196,   9802,   9913,   9964, 
/* msg =   1020, deg =  7 */     72,   1708,   4130,   9149,   9499,   9727,   9802, 
/* msg =   1021, deg =  7 */   1243,   2751,   4173,   9461,   9520,   9620,   9924, 
/* msg =   1022, deg =  7 */   1659,   3038,   3775,   9384,   9546,   9732,   9907, 
/* msg =   1023, deg =  7 */   1649,   1778,   3974,   9228,   9633,   9652,   9953, 
/* msg =   1024, deg =  7 */   1397,   2301,   4247,   9362,   9436,   9625,   9690, 
/* msg =   1025, deg =  7 */   1460,   1716,   4282,   9797,   9876,   9910,   9930, 
/* msg =   1026, deg =  7 */   1556,   1785,   4591,   9150,   9491,   9683,   9791, 
/* msg =   1027, deg =  7 */   1367,   1922,   4589,   9171,   9218,   9523,   9781, 
/* msg =   1028, deg =  7 */    195,   2665,   4300,   9456,   9665,   9716,   9791, 
/* msg =   1029, deg =  7 */   1422,   3270,   3366,   9160,   9358,   9537,   9861, 
/* msg =   1030, deg =  7 */   1625,   3184,   4806,   9214,   9326,   9794,   9830, 
/* msg =   1031, deg =  7 */    260,   2494,   3629,   9200,   9337,   9591,   9913, 
/* msg =   1032, deg =  7 */    752,   3281,   3431,   9363,   9419,   9848,   9916, 
/* msg =   1033, deg =  7 */    541,   1875,   4840,   9168,   9264,   9565,   9884, 
/* msg =   1034, deg =  7 */   1613,   2722,   4485,   9329,   9431,   9625,   9809, 
/* msg =   1035, deg =  7 */     27,   2101,   4121,   9710,   9755,   9778,   9962, 
/* msg =   1036, deg =  7 */   1129,   2454,   3385,   9374,   9389,   9417,   9502, 
/* msg =   1037, deg =  7 */    267,   2282,   3564,   9219,   9427,   9435,   9516, 
/* msg =   1038, deg =  7 */    188,   2548,   3478,   9529,   9677,   9848,   9957, 
/* msg =   1039, deg =  7 */   1403,   3107,   3917,   9206,   9379,   9545,   9731, 
/* msg =   1040, deg =  7 */   1273,   2933,   3397,   9267,   9279,   9288,   9466, 
/* msg =   1041, deg =  7 */    525,   3307,   3498,   9154,   9261,   9556,   9813, 
/* msg =   1042, deg =  7 */    684,   2969,   4318,   9498,   9561,   9579,   9752, 
/* msg =   1043, deg =  7 */    652,   1899,   4394,   9394,   9534,   9611,   9667, 
/* msg =   1044, deg =  7 */   1012,   2798,   4977,   9344,   9730,   9861,   9885, 
/* msg =   1045, deg =  7 */    837,   1868,   4135,   9223,   9667,   9738,   9960, 
/* msg =   1046, deg =  7 */   1197,   2856,   4304,   9283,   9816,   9844,   9968, 
/* msg =   1047, deg =  7 */    100,   2916,   3749,   9141,   9768,   9849,   9896, 
/* msg =   1048, deg =  7 */    494,   2821,   4732,   9390,   9531,   9809,   9852, 
/* msg =   1049, deg =  7 */   1077,   2799,   3788,   9577,   9701,   9829,   9835, 
/* msg =   1050, deg =  7 */    518,   1775,   4003,   9328,   9370,   9484,   9766, 
/* msg =   1051, deg =  7 */   1562,   3115,   4700,   9293,   9425,   9514,   9635, 
/* msg =   1052, deg =  7 */   1618,   3177,   4070,   9391,   9547,   9684,   9705, 
/* msg =   1053, deg =  7 */   1159,   3290,   3420,   9484,   9810,   9844,   9919, 
/* msg =   1054, deg =  7 */   1219,   2472,   3709,   9479,   9495,   9603,   9695, 
/* msg =   1055, deg =  7 */    255,   2381,   4855,   9810,   9860,   9869,   9880, 
/* msg =   1056, deg =  7 */    351,   3252,   3852,   9265,   9674,   9786,   9943, 
/* msg =   1057, deg =  7 */    203,   2392,   3868,   9175,   9391,   9476,   9846, 
/* msg =   1058, deg =  7 */    183,   2973,   4538,   9528,   9809,   9860,   9939, 
/* msg =   1059, deg =  7 */   1208,   3246,   4404,   9258,   9442,   9894,   9942, 
/* msg =   1060, deg =  7 */     37,   2841,   4486,   9141,   9249,   9251,   9867, 
/* msg =   1061, deg =  7 */    425,   2807,   3662,   9479,   9546,   9626,   9857, 
/* msg =   1062, deg =  7 */    790,   2908,   3610,   9367,   9726,   9839,   9945, 
/* msg =   1063, deg =  7 */    700,   3206,   3412,   9210,   9396,   9621,   9707, 
/* msg =   1064, deg =  7 */    142,   2719,   4696,   9199,   9459,   9567,   9827, 
/* msg =   1065, deg =  7 */    194,   2556,   3970,   9201,   9304,   9733,   9822, 
/* msg =   1066, deg =  7 */    559,   1759,   4002,   9177,   9274,   9756,   9818, 
/* msg =   1067, deg =  7 */   1311,   1925,   4584,   9282,   9362,   9865,   9939, 
/* msg =   1068, deg =  7 */   1606,   2052,   4798,   9163,   9399,   9601,   9890, 
/* msg =   1069, deg =  7 */    772,   2300,   4943,   9236,   9438,   9663,   9875, 
/* msg =   1070, deg =  7 */    417,   3086,   4128,   9260,   9276,   9317,   9840, 
/* msg =   1071, deg =  7 */    161,   2198,   4849,   9176,   9379,   9572,   9673, 
/* msg =   1072, deg =  7 */     54,   2467,   3452,   9230,   9409,   9452,   9456, 
/* msg =   1073, deg =  7 */    647,   2026,   4466,   9385,   9540,   9728,   9932, 
/* msg =   1074, deg =  7 */   1459,   1945,   3834,   9289,   9361,   9555,   9597, 
/* msg =   1075, deg =  7 */    104,   2168,   4737,   9182,   9409,   9765,   9937, 
/* msg =   1076, deg =  7 */   1502,   3050,   4543,   9292,   9583,   9589,   9867, 
/* msg =   1077, deg =  7 */    988,   2259,   4666,   9395,   9400,   9483,   9777, 
/* msg =   1078, deg =  7 */    688,   3140,   4015,   9722,   9775,   9877,   9957, 
/* msg =   1079, deg =  7 */   1479,   1736,   3563,   9539,   9602,   9925,   9953, 
/* msg =   1080, deg =  7 */    853,   2167,   4426,   9751,   9762,   9838,   9871, 
/* msg =   1081, deg =  7 */    199,   2216,   4594,   9202,   9406,   9766,   9937, 
/* msg =   1082, deg =  7 */    333,   3219,   3415,   9590,   9643,   9660,   9717, 
/* msg =   1083, deg =  7 */    345,   3226,   4350,   9665,   9730,   9731,   9764, 
/* msg =   1084, deg =  7 */    813,   2813,   3711,   9307,   9462,   9527,   9843, 
/* msg =   1085, deg =  7 */    648,   1885,   4411,   9324,   9370,   9430,   9523, 
/* msg =   1086, deg =  7 */    791,   3066,   3392,   9316,   9443,   9488,   9879, 
/* msg =   1087, deg =  7 */   1411,   3009,   4587,   9227,   9534,   9783,   9874, 
/* msg =   1088, deg =  7 */   1328,   3096,   4760,   9341,   9418,   9601,   9885, 
/* msg =   1089, deg =  7 */   1318,   2522,   4887,   9385,   9413,   9727,   9822, 
/* msg =   1090, deg =  7 */    952,   2664,   3805,   9619,   9701,   9841,   9956, 
/* msg =   1091, deg =  7 */    977,   3123,   3536,   9169,   9798,   9922,   9948, 
/* msg =   1092, deg =  7 */   1358,   2154,   4448,   9556,   9783,   9784,   9961, 
/* msg =   1093, deg =  7 */    992,   2854,   4052,   9169,   9375,   9851,   9855, 
/* msg =   1094, deg =  7 */    614,   3034,   4598,   9181,   9402,   9567,   9827, 
/* msg =   1095, deg =  7 */   1253,   1877,   4726,   9142,   9328,   9486,   9864, 
/* msg =   1096, deg =  7 */   1011,   2510,   3793,   9173,   9232,   9713,   9755, 
/* msg =   1097, deg =  7 */    283,   2224,   3796,   9294,   9455,   9489,   9663, 
/* msg =   1098, deg =  7 */   1041,   2614,   4311,   9164,   9226,   9262,   9311, 
/* msg =   1099, deg =  7 */    585,   3134,   3368,   9507,   9670,   9866,   9933, 
/* msg =   1100, deg =  7 */    428,   2834,   4115,   9192,   9363,   9523,   9936, 
/* msg =   1101, deg =  7 */   1567,   2302,   3797,   9175,   9685,   9734,   9876, 
/* msg =   1102, deg =  7 */    540,   2211,   3655,   9309,   9531,   9844,   9850, 
/* msg =   1103, deg =  7 */   1248,   1968,   3539,   9237,   9520,   9546,   9684, 
/* msg =   1104, deg =  7 */    239,   2206,   3671,   9386,   9477,   9854,   9915, 
/* msg =   1105, deg =  7 */   1286,   2888,   4940,   9155,   9249,   9270,   9520, 
/* msg =   1106, deg =  7 */   1166,   3103,   3925,   9267,   9512,   9525,   9642, 
/* msg =   1107, deg =  7 */   1370,   2984,   4682,   9294,   9592,   9629,   9949, 
/* msg =   1108, deg =  7 */    384,   1773,   4946,   9502,   9588,   9632,   9771, 
/* msg =   1109, deg =  7 */    704,   2387,   4067,   9145,   9184,   9258,   9635, 
/* msg =   1110, deg =  7 */    589,   3199,   4509,   9237,   9375,   9511,   9541, 
/* msg =   1111, deg =  7 */    893,   2870,   3405,   9244,   9250,   9289,   9499, 
/* msg =   1112, deg =  7 */   1551,   2817,   3702,   9240,   9447,   9487,   9723, 
/* msg =   1113, deg =  7 */    558,   2465,   3909,   9411,   9438,   9681,   9928, 
/* msg =   1114, deg =  7 */   1062,   2531,   4183,   9422,   9472,   9620,   9673, 
/* msg =   1115, deg =  7 */   1487,   3274,   4551,   9254,   9692,   9798,   9901, 
/* msg =   1116, deg =  7 */    980,   1732,   4568,   9593,   9630,   9638,   9713, 
/* msg =   1117, deg =  7 */   1098,   2004,   4386,   9303,   9430,   9480,   9561, 
/* msg =   1118, deg =  7 */    671,   2504,   4225,   9243,   9568,   9596,   9842, 
/* msg =   1119, deg =  7 */     92,   3207,   4511,   9274,   9464,   9572,   9892, 
/* msg =   1120, deg =  7 */    440,   2058,   4331,   9248,   9415,   9550,   9601, 
/* msg =   1121, deg =  7 */    385,   1911,   4265,   9334,   9591,   9662,   9823, 
/* msg =   1122, deg =  7 */    644,   2252,   4435,   9196,   9845,   9954,   9958, 
/* msg =   1123, deg =  7 */    931,   2118,   4312,   9436,   9640,   9694,   9762, 
/* msg =   1124, deg =  7 */   1438,   3079,   4631,   9340,   9753,   9862,   9886, 
/* msg =   1125, deg =  7 */   1049,   3077,   3423,   9321,   9465,   9709,   9860, 
/* msg =   1126, deg =  7 */    437,   2584,   4408,   9324,   9346,   9740,   9836, 
/* msg =   1127, deg =  7 */   1586,   2805,   3624,   9212,   9331,   9392,   9690, 
/* msg =   1128, deg =  7 */    322,   2498,   4027,   9141,   9464,   9849,   9905, 
/* msg =   1129, deg =  7 */    868,   2746,   3407,   9224,   9422,   9633,   9694, 
/* msg =   1130, deg =  7 */    340,   2481,   3637,   9718,   9825,   9902,   9913, 
/* msg =   1131, deg =  7 */   1225,   2238,   4495,   9142,   9416,   9881,   9944, 
/* msg =   1132, deg =  7 */   1251,   1998,   3424,   9178,   9429,   9701,   9784, 
/* msg =   1133, deg =  7 */    749,   2271,   4127,   9305,   9542,   9674,   9889, 
/* msg =   1134, deg =  7 */   1235,   3221,   4801,   9159,   9632,   9720,   9800, 
/* msg =   1135, deg =  7 */    787,   2503,   3672,   9274,   9482,   9501,   9839, 
/* msg =   1136, deg =  7 */   1493,   2075,   4576,   9220,   9226,   9303,   9700, 
/* msg =   1137, deg =  7 */   1452,   1993,   4195,   9152,   9377,   9590,   9604, 
/* msg =   1138, deg =  7 */    493,   3223,   3714,   9181,   9648,   9771,   9803, 
/* msg =   1139, deg =  7 */    812,   1873,   4503,   9186,   9195,   9228,   9691, 
/* msg =   1140, deg =  7 */    899,   2239,   3383,   9207,   9255,   9303,   9425, 
/* msg =   1141, deg =  7 */    689,   3039,   3513,   9215,   9245,   9402,   9654, 
/* msg =   1142, deg =  7 */   1449,   1890,   4927,   9167,   9169,   9416,   9709, 
/* msg =   1143, deg =  7 */   1410,   1931,   4019,   9331,   9555,   9652,   9779, 
/* msg =   1144, deg =  7 */   1653,   3230,   4043,   9272,   9439,   9489,   9640, 
/* msg =   1145, deg =  7 */   1283,   2287,   3677,   9544,   9586,   9929,   9941, 
/* msg =   1146, deg =  7 */    409,   2160,   3504,   9158,   9282,   9301,   9538, 
/* msg =   1147, deg =  7 */   1457,   3229,   3744,   9161,   9184,   9383,   9716, 
/* msg =   1148, deg =  7 */    940,   2589,   4028,   9273,   9688,   9760,   9924, 
/* msg =   1149, deg =  7 */    245,   1910,   4185,   9661,   9773,   9904,   9928, 
/* msg =   1150, deg =  7 */    486,   1840,   4159,   9155,   9423,   9427,   9806, 
/* msg =   1151, deg =  7 */    592,   1916,   4813,   9256,   9373,   9403,   9579, 
/* msg =   1152, deg =  7 */    929,   2918,   3443,   9410,   9507,   9518,   9895, 
/* msg =   1153, deg =  7 */    707,   2772,   4972,   9380,   9600,   9896,   9929, 
/* msg =   1154, deg =  7 */   1417,   2914,   4827,   9216,   9416,   9785,   9890, 
/* msg =   1155, deg =  7 */    209,   1860,   4235,   9686,   9738,   9771,   9920, 
/* msg =   1156, deg =  7 */    639,   2735,   4476,   9548,   9720,   9786,   9816, 
/* msg =   1157, deg =  7 */    655,   2030,   4638,   9583,   9613,   9646,   9720, 
/* msg =   1158, deg =  7 */    445,   3205,   4204,   9307,   9519,   9745,   9770, 
/* msg =   1159, deg =  7 */    570,   2436,   3966,   9327,   9521,   9525,   9915, 
/* msg =   1160, deg =  7 */    998,   2440,   4779,   9222,   9239,   9296,   9752, 
/* msg =   1161, deg =  7 */    167,   2152,   4089,   9302,   9510,   9611,   9676, 
/* msg =   1162, deg =  7 */   1415,   3030,   3550,   9563,   9642,   9698,   9805, 
/* msg =   1163, deg =  7 */   1424,   2884,   4669,   9268,   9396,   9593,   9745, 
/* msg =   1164, deg =  7 */   1052,   2784,   3602,   9315,   9471,   9703,   9772, 
/* msg =   1165, deg =  7 */    628,   1676,   4843,   9285,   9644,   9655,   9870, 
/* msg =   1166, deg =  7 */   1566,   3018,   3326,   9255,   9434,   9752,   9789, 
/* msg =   1167, deg =  7 */    926,   2628,   3773,   9382,   9566,   9580,   9929, 
/* msg =   1168, deg =  7 */   1469,   2644,   4624,   9238,   9394,   9620,   9718, 
/* msg =   1169, deg =  7 */    744,   2449,   4122,   9368,   9388,   9542,   9748, 
/* msg =   1170, deg =  7 */    748,   2218,   4847,   9515,   9666,   9712,   9946, 
/* msg =   1171, deg =  7 */   1146,   2408,   4924,   9310,   9463,   9881,   9945, 
/* msg =   1172, deg =  7 */    356,   2555,   4422,   9557,   9754,   9780,   9939, 
/* msg =   1173, deg =  7 */    293,   1795,   3717,   9209,   9577,   9637,   9653, 
/* msg =   1174, deg =  7 */    364,   2373,   4772,   9566,   9637,   9680,   9841, 
/* msg =   1175, deg =  7 */    488,   2441,   3680,   9417,   9564,   9590,   9952, 
/* msg =   1176, deg =  7 */    941,   2506,   4814,   9286,   9385,   9640,   9833, 
/* msg =   1177, deg =  7 */    814,   2987,   3484,   9557,   9589,   9604,   9887, 
/* msg =   1178, deg =  7 */   1646,   3303,   4639,   9148,   9160,   9180,   9394, 
/* msg =   1179, deg =  7 */    492,   2634,   3736,   9257,   9387,   9487,   9569, 
/* msg =   1180, deg =  7 */    763,   1915,   4922,   9407,   9518,   9581,   9831, 
/* msg =   1181, deg =  7 */   1629,   1930,   3842,   9158,   9195,   9213,   9768, 
/* msg =   1182, deg =  7 */   1525,   2940,   4049,   9165,   9210,   9616,   9626, 
/* msg =   1183, deg =  7 */   1294,   3176,   3534,   9340,   9538,   9671,   9692, 
/* msg =   1184, deg =  7 */    270,   2663,   3674,   9407,   9505,   9608,   9847, 
/* msg =   1185, deg =  7 */    127,   2912,   4194,   9220,   9266,   9460,   9805, 
/* msg =   1186, deg =  7 */    621,   1743,   4765,   9539,   9617,   9878,   9936, 
/* msg =   1187, deg =  7 */   1276,   3110,   3518,   9551,   9594,   9609,   9882, 
/* msg =   1188, deg =  7 */    561,   3144,   4172,   9164,   9316,   9595,   9777, 
/* msg =   1189, deg =  7 */   1450,   1662,   3590,   9740,   9823,   9856,   9870, 
/* msg =   1190, deg =  7 */    288,   3054,   4458,   9325,   9563,   9705,   9708, 
/* msg =   1191, deg =  7 */   1132,   2219,   4126,   9356,   9658,   9708,   9768, 
/* msg =   1192, deg =  7 */   1295,   1696,   4229,   9157,   9292,   9496,   9578, 
/* msg =   1193, deg =  7 */    901,   1721,   4526,   9233,   9367,   9455,   9760, 
/* msg =   1194, deg =  7 */   1363,   3225,   4578,   9293,   9662,   9763,   9870, 
/* msg =   1195, deg =  7 */   1099,   2258,   4585,   9463,   9634,   9843,   9919, 
/* msg =   1196, deg =  7 */    946,   1723,   4559,   9159,   9252,   9515,   9526, 
/* msg =   1197, deg =  7 */    888,   2350,   3745,   9313,   9555,   9799,   9909, 
/* msg =   1198, deg =  7 */   1441,   1855,   3532,   9485,   9624,   9680,   9934, 
/* msg =   1199, deg =  7 */    726,   1947,   4075,   9155,   9214,   9444,   9850, 
/* msg =   1200, deg =  7 */    568,   2150,   4609,   9462,   9514,   9679,   9901, 
/* msg =   1201, deg =  7 */     29,   2636,   4084,   9339,   9375,   9625,   9689, 
/* msg =   1202, deg =  7 */    583,   2924,   3918,   9266,   9580,   9633,   9706, 
/* msg =   1203, deg =  7 */   1181,   2652,   3548,   9309,   9314,   9804,   9833, 
/* msg =   1204, deg =  7 */   1588,   1825,   3355,   9504,   9672,   9883,   9899, 
/* msg =   1205, deg =  7 */    427,   2164,   4045,   9187,   9208,   9451,   9917, 
/* msg =   1206, deg =  7 */    421,   3133,   4672,   9169,   9272,   9679,   9729, 
/* msg =   1207, deg =  7 */    846,   3074,   3390,   9315,   9661,   9716,   9811, 
/* msg =   1208, deg =  7 */   1603,   1718,   4947,   9167,   9489,   9724,   9964, 
/* msg =   1209, deg =  7 */    978,   3282,   4670,   9398,   9868,   9935,   9940, 
/* msg =   1210, deg =  7 */   1572,   3261,   3444,   9170,   9248,   9402,   9906, 
/* msg =   1211, deg =  7 */   1265,   1881,   4769,   9248,   9270,   9650,   9710, 
/* msg =   1212, deg =  7 */    178,   2945,   3527,   9543,   9560,   9598,   9883, 
/* msg =   1213, deg =  7 */   1000,   2575,   4720,   9387,   9724,   9773,   9864, 
/* msg =   1214, deg =  7 */   1528,   2689,   4474,   9235,   9279,   9344,   9767, 
/* msg =   1215, deg =  7 */   1513,   3049,   3961,   9165,   9217,   9653,   9848, 
/* msg =   1216, deg =  7 */    319,   2685,   4890,   9301,   9343,   9512,   9703, 
/* msg =   1217, deg =  7 */    810,   1821,   4510,   9618,   9646,   9699,   9891, 
/* msg =   1218, deg =  7 */    205,   2818,   3615,   9144,   9426,   9678,   9840, 
/* msg =   1219, deg =  7 */    973,   2900,   3858,   9156,   9388,   9608,   9864, 
/* msg =   1220, deg =  7 */    304,   2920,   3652,   9338,   9381,   9407,   9808, 
/* msg =   1221, deg =  7 */    873,   3301,   3899,   9454,   9643,   9714,   9802, 
/* msg =   1222, deg =  7 */    703,   2567,   4658,   9232,   9426,   9519,   9614, 
/* msg =   1223, deg =  7 */   1320,   2729,   3850,   9301,   9614,   9851,   9927, 
/* msg =   1224, deg =  7 */    451,   3174,   3673,   9294,   9299,   9593,   9770, 
/* msg =   1225, deg =  7 */    442,   2405,   3604,   9359,   9393,   9550,   9967, 
/* msg =   1226, deg =  7 */    993,   2080,   3499,   9204,   9238,   9542,   9736, 
/* msg =   1227, deg =  7 */   1573,   3234,   4812,   9546,   9707,   9877,   9879, 
/* msg =   1228, deg =  7 */   1643,   3150,   3835,   9359,   9473,   9706,   9714, 
/* msg =   1229, deg =  7 */    576,   1680,   3887,   9554,   9567,   9659,   9905, 
/* msg =   1230, deg =  7 */   1489,   3250,   3473,   9144,   9517,   9591,   9603, 
/* msg =   1231, deg =  7 */    508,   2003,   3993,   9487,   9545,   9739,   9850, 
/* msg =   1232, deg =  7 */     83,   3302,   4892,   9185,   9414,   9837,   9966, 
/* msg =   1233, deg =  7 */    730,   2395,   4190,   9150,   9649,   9763,   9932, 
/* msg =   1234, deg =  7 */    735,   2638,   4360,   9479,   9594,   9858,   9903, 
/* msg =   1235, deg =  7 */    177,   1705,   4164,   9279,   9671,   9804,   9838, 
/* msg =   1236, deg =  7 */   1045,   3101,   4187,   9375,   9412,   9536,   9949, 
/* msg =   1237, deg =  7 */    297,   2071,   3462,   9189,   9215,   9474,   9793, 
/* msg =   1238, deg =  7 */    170,   3322,   3437,   9148,   9513,   9584,   9817, 
/* msg =   1239, deg =  7 */   1568,   1894,   3625,   9400,   9681,   9700,   9885, 
/* msg =   1240, deg =  7 */   1205,   1943,   3804,   9441,   9485,   9736,   9747, 
/* msg =   1241, deg =  7 */   1087,   2120,   3492,   9188,   9322,   9725,   9877, 
/* msg =   1242, deg =  7 */   1216,   2604,   3585,   9243,   9449,   9859,   9890, 
/* msg =   1243, deg =  7 */   1409,   2727,   3750,   9237,   9276,   9376,   9802, 
/* msg =   1244, deg =  7 */   1622,   2857,   4240,   9287,   9346,   9516,   9879, 
/* msg =   1245, deg =  7 */      4,   2767,   3479,   9193,   9228,   9466,   9597, 
/* msg =   1246, deg =  7 */    646,   2814,   3378,   9293,   9360,   9500,   9709, 
/* msg =   1247, deg =  7 */    936,   2621,   4668,   9408,   9411,   9468,   9670, 
/* msg =   1248, deg =  7 */   1571,   2095,   3859,   9218,   9221,   9242,   9288, 
/* msg =   1249, deg =  7 */    464,   2401,   3754,   9143,   9420,   9471,   9714, 
/* msg =   1250, deg =  7 */    827,   3249,   4868,   9270,   9281,   9409,   9917, 
/* msg =   1251, deg =  7 */    885,   2949,   4530,   9295,   9552,   9836,   9952, 
/* msg =   1252, deg =  7 */   1341,   2085,   3875,   9371,   9511,   9827,   9886, 
/* msg =   1253, deg =  7 */    826,   2840,   3541,   9608,   9666,   9722,   9949, 
/* msg =   1254, deg =  7 */    912,   2450,   4392,   9162,   9395,   9714,   9897, 
/* msg =   1255, deg =  7 */    139,   3037,   4108,   9446,   9632,   9706,   9929, 
/* msg =   1256, deg =  7 */   1386,   1940,   3935,   9480,   9511,   9605,   9787, 
/* msg =   1257, deg =  7 */     86,   2023,   3664,   9180,   9341,   9479,   9635, 
/* msg =   1258, deg =  7 */    520,   2445,   4469,   9150,   9273,   9570,   9610, 
/* msg =   1259, deg =  7 */    314,   3271,   4973,   9233,   9649,   9690,   9834, 
/* msg =   1260, deg =  7 */     60,   2099,   3457,   9427,   9430,   9795,   9926, 
/* msg =   1261, deg =  7 */    279,   3051,   3841,   9203,   9231,   9563,   9775, 
/* msg =   1262, deg =  7 */   1359,   2954,   4134,   9244,   9469,   9803,   9806, 
/* msg =   1263, deg =  7 */    435,   2962,   4101,   9365,   9448,   9857,   9867, 
/* msg =   1264, deg =  7 */    243,   2162,   4481,   9264,   9315,   9494,   9691, 
/* msg =   1265, deg =  7 */   1389,   2578,   4791,   9192,   9348,   9452,   9460, 
/* msg =   1266, deg =  7 */    434,   2524,   3552,   9305,   9383,   9811,   9909, 
/* msg =   1267, deg =  7 */   1127,   2341,   3639,   9235,   9273,   9535,   9945, 
/* msg =   1268, deg =  7 */    382,   2889,   4830,   9225,   9255,   9257,   9503, 
/* msg =   1269, deg =  7 */    317,   2838,   3755,   9498,   9541,   9685,   9926, 
/* msg =   1270, deg =  7 */     57,   1754,   4845,   9332,   9408,   9711,   9904, 
/* msg =   1271, deg =  7 */   1634,   2897,   3633,   9344,   9443,   9503,   9842, 
/* msg =   1272, deg =  7 */    320,   2009,   3845,   9215,   9560,   9738,   9914, 
/* msg =   1273, deg =  7 */   1338,   1864,   3601,   9306,   9453,   9807,   9888, 
/* msg =   1274, deg =  7 */    626,   2110,   4629,   9172,   9490,   9577,   9643, 
/* msg =   1275, deg =  7 */   1140,   2308,   4975,   9157,   9250,   9358,   9524, 
/* msg =   1276, deg =  7 */   1042,   2055,   4423,   9234,   9570,   9668,   9839, 
/* msg =   1277, deg =  7 */    957,   2262,   3729,   9179,   9197,   9302,   9699, 
/* msg =   1278, deg =  7 */    413,   3198,   3471,   9352,   9421,   9615,   9818, 
/* msg =   1279, deg =  7 */   1627,   1959,   4903,   9207,   9343,   9366,   9819, 
/* msg =   1280, deg =  7 */   1170,   1798,   4626,   9427,   9505,   9538,   9897, 
/* msg =   1281, deg =  7 */    803,   2657,   4218,   9284,   9452,   9805,   9896, 
/* msg =   1282, deg =  7 */    452,   2516,   4473,   9470,   9500,   9549,   9756, 
/* msg =   1283, deg =  7 */    839,   1880,   3606,   9183,   9330,   9481,   9650, 
/* msg =   1284, deg =  7 */     66,   2785,   4010,   9225,   9296,   9938,   9954, 
/* msg =   1285, deg =  7 */    771,   1963,   3613,   9217,   9373,   9495,   9796, 
/* msg =   1286, deg =  7 */    780,   3239,   3398,   9145,   9356,   9382,   9719, 
/* msg =   1287, deg =  7 */    756,   2697,   4537,   9240,   9600,   9660,   9743, 
/* msg =   1288, deg =  7 */    200,   2632,   3658,   9693,   9790,   9873,   9951, 
/* msg =   1289, deg =  7 */    658,   1790,   4170,   9211,   9212,   9781,   9834, 
/* msg =   1290, deg =  7 */    757,   1850,   3638,   9192,   9435,   9611,   9753, 
/* msg =   1291, deg =  7 */    981,   2398,   4736,   9195,   9285,   9405,   9941, 
/* msg =   1292, deg =  7 */    138,   2463,   3371,   9510,   9605,   9795,   9868, 
/* msg =   1293, deg =  7 */   1289,   2793,   3699,   9393,   9450,   9557,   9649, 
/* msg =   1294, deg =  7 */    742,   2598,   3357,   9733,   9789,   9859,   9958, 
/* msg =   1295, deg =  7 */    423,   1815,   4597,   9221,   9246,   9398,   9664, 
/* msg =   1296, deg =  7 */    811,   3141,   4191,   9338,   9480,   9525,   9618, 
/* msg =   1297, deg =  7 */   1169,   3308,   4243,   9217,   9713,   9744,   9824, 
/* msg =   1298, deg =  7 */   1236,   2451,   4976,   9185,   9372,   9777,   9824, 
/* msg =   1299, deg =  7 */     71,   3082,   4454,   9329,   9682,   9763,   9831, 
/* msg =   1300, deg =  7 */     49,   2180,   3583,   9259,   9643,   9660,   9819, 
/* msg =   1301, deg =  7 */   1532,   3187,   4446,   9306,   9548,   9687,   9937, 
/* msg =   1302, deg =  7 */    338,   2650,   3351,   9209,   9288,   9447,   9726, 
/* msg =   1303, deg =  7 */   1103,   2541,   3435,   9540,   9718,   9849,   9863, 
/* msg =   1304, deg =  7 */   1654,   2415,   4222,   9278,   9332,   9482,   9956, 
/* msg =   1305, deg =  7 */    969,   2640,   3382,   9342,   9406,   9463,   9759, 
/* msg =   1306, deg =  7 */    526,   1806,   3781,   9317,   9523,   9760,   9932, 
/* msg =   1307, deg =  7 */    236,   3111,   3653,   9297,   9693,   9858,   9971, 
/* msg =   1308, deg =  7 */   1009,   3119,   4635,   9159,   9444,   9669,   9679, 
/* msg =   1309, deg =  7 */   1153,   2923,   4223,   9190,   9299,   9754,   9815, 
/* msg =   1310, deg =  7 */   1464,   1913,   3898,   9245,   9361,   9645,   9785, 
/* msg =   1311, deg =  7 */     65,   3044,   4863,   9533,   9610,   9824,   9948, 
/* msg =   1312, deg =  7 */   1104,   2488,   3501,   9491,   9504,   9619,   9826, 
/* msg =   1313, deg =  7 */   1155,   2279,   4756,   9195,   9378,   9405,   9472, 
/* msg =   1314, deg =  7 */     64,   2639,   4037,   9184,   9343,   9572,   9659, 
/* msg =   1315, deg =  7 */   1390,   2186,   4024,   9149,   9248,   9419,   9862, 
/* msg =   1316, deg =  7 */    991,   2495,   4286,   9253,   9378,   9459,   9530, 
/* msg =   1317, deg =  7 */    210,   1672,   3872,   9559,   9675,   9778,   9944, 
/* msg =   1318, deg =  7 */   1298,   1799,   3734,   9286,   9353,   9442,   9788, 
/* msg =   1319, deg =  7 */    533,   1946,   3600,   9213,   9386,   9638,   9791, 
/* msg =   1320, deg =  7 */   1495,   2184,   4759,   9738,   9796,   9890,   9897, 
/* msg =   1321, deg =  7 */    824,   2875,   3752,   9177,   9208,   9503,   9622, 
/* msg =   1322, deg =  7 */   1405,   2928,   3347,   9345,   9662,   9699,   9758, 
/* msg =   1323, deg =  7 */    860,   2285,   3716,   9280,   9379,   9451,   9790, 
/* msg =   1324, deg =  7 */    146,   2527,   4888,   9376,   9406,   9467,   9692, 
/* msg =   1325, deg =  7 */   1218,   3121,   3801,   9189,   9520,   9554,   9859, 
/* msg =   1326, deg =  7 */   1626,   2014,   4278,   9161,   9633,   9701,   9759, 
/* msg =   1327, deg =  7 */    196,   2972,   4945,   9380,   9469,   9550,   9866, 
/* msg =   1328, deg =  7 */    943,   2286,   4342,   9277,   9296,   9368,   9903, 
/* msg =   1329, deg =  7 */   1607,   3099,   4178,   9260,   9542,   9553,   9689, 
/* msg =   1330, deg =  7 */     40,   1828,   3995,   9475,   9815,   9820,   9847, 
/* msg =   1331, deg =  7 */    937,   1755,   3963,   9161,   9338,   9753,   9856, 
/* msg =   1332, deg =  7 */   1224,   2790,   4867,   9312,   9506,   9517,   9931, 
/* msg =   1333, deg =  7 */    538,   1735,   3519,   9295,   9450,   9855,   9873, 
/* msg =   1334, deg =  7 */   1019,   2053,   3605,   9151,   9410,   9509,   9708, 
/* msg =   1335, deg =  7 */    530,   1862,   4371,   9344,   9401,   9676,   9742, 
/* msg =   1336, deg =  7 */   1134,   1888,   4655,   9399,   9410,   9486,   9686, 
/* msg =   1337, deg =  7 */    546,   3112,   4776,   9284,   9393,   9429,   9804, 
/* msg =   1338, deg =  7 */    554,   2843,   4757,   9581,   9787,   9841,   9845, 
/* msg =   1339, deg =  7 */    436,   1976,   3359,   9153,   9495,   9588,   9704, 
/* msg =   1340, deg =  7 */    572,   2932,   4132,   9162,   9481,   9960,   9967, 
/* msg =   1341, deg =  7 */    706,   2643,   4742,   9143,   9664,   9721,   9966, 
/* msg =   1342, deg =  7 */    193,   3289,   4790,   9203,   9481,   9551,   9912, 
/* msg =   1343, deg =  7 */    459,   1789,   4854,   9598,   9637,   9717,   9886, 
/* msg =   1344, deg =  7 */   1064,   1923,   3460,   9576,   9587,   9604,   9772, 
/* msg =   1345, deg =  7 */    745,   1811,   4889,   9191,   9335,   9452,   9751, 
/* msg =   1346, deg =  7 */    419,   2363,   4533,   9182,   9289,   9719,   9828, 
/* msg =   1347, deg =  7 */   1470,   2189,   3584,   9370,   9384,   9672,   9864, 
/* msg =   1348, deg =  7 */   1538,   2549,   4611,   9392,   9421,   9809,   9886, 
/* msg =   1349, deg =  7 */    181,   2511,   4082,   9514,   9583,   9657,   9861, 
/* msg =   1350, deg =  7 */    865,   3028,   4284,   9160,   9337,   9457,   9891, 
/* msg =   1351, deg =  7 */    615,   1981,   4337,   9242,   9522,   9544,   9642, 
/* msg =   1352, deg =  7 */    218,   2466,   4709,   9186,   9622,   9751,   9921, 
/* msg =   1353, deg =  7 */   1264,   3075,   4251,   9545,   9639,   9719,   9914, 
/* msg =   1354, deg =  7 */    877,   2515,   4606,   9295,   9515,   9526,   9734, 
/* msg =   1355, deg =  7 */   1660,   2700,   4853,   9308,   9366,   9677,   9965, 
/* msg =   1356, deg =  7 */    276,   2591,   4560,   9507,   9532,   9540,   9953, 
/* msg =   1357, deg =  7 */    105,   3162,   4138,   9497,   9515,   9747,   9925, 
/* msg =   1358, deg =  7 */    755,   1741,   3689,   9410,   9412,   9684,   9742, 
/* msg =   1359, deg =  7 */   1314,   2378,   4325,   9642,   9697,   9748,   9900, 
/* msg =   1360, deg =  7 */    332,   2690,   4157,   9351,   9587,   9617,   9788, 
/* msg =   1361, deg =  7 */    869,   2750,   3530,   9348,   9462,   9704,   9808, 
/* msg =   1362, deg =  7 */    159,   3257,   4004,   9528,   9758,   9762,   9876, 
/* msg =   1363, deg =  7 */   1130,   2083,   4464,   9383,   9624,   9783,   9811, 
/* msg =   1364, deg =  7 */     99,   1810,   4875,   9185,   9502,   9834,   9895, 
/* msg =   1365, deg =  7 */    695,   1965,   3566,   9235,   9516,   9715,   9898, 
/* msg =   1366, deg =  7 */    659,   2986,   4622,   9230,   9285,   9442,   9589, 
/* msg =   1367, deg =  7 */   1488,   2994,   3696,   9172,   9530,   9639,   9902, 
/* msg =   1368, deg =  7 */    535,   2388,   4203,   9331,   9333,   9341,   9780, 
/* msg =   1369, deg =  7 */    728,   3154,   3900,   9154,   9490,   9501,   9722, 
/* msg =   1370, deg =  7 */   1455,   2642,   4932,   9284,   9290,   9468,   9801, 
/* msg =   1371, deg =  7 */   1584,   2369,   3448,   9263,   9306,   9808,   9936, 
/* msg =   1372, deg =  7 */   1144,   3216,   3682,   9148,   9262,   9613,   9887, 
/* msg =   1373, deg =  7 */    331,   2157,   3763,   9417,   9475,   9749,   9831, 
/* msg =   1374, deg =  7 */   1546,   3089,   4881,   9190,   9434,   9624,   9940, 
/* msg =   1375, deg =  7 */    855,   3232,   4217,   9616,   9667,   9833,   9841, 
/* msg =   1376, deg =  7 */   1177,   2060,   4140,   9534,   9728,   9737,   9924, 
/* msg =   1377, deg =  7 */   1650,   3033,   4142,   9243,   9324,   9374,   9623, 
/* msg =   1378, deg =  7 */    582,   2372,   4506,   9261,   9312,   9422,   9938, 
/* msg =   1379, deg =  7 */   1270,   3182,   3647,   9330,   9506,   9636,   9855, 
/* msg =   1380, deg =  7 */    716,   3228,   4882,   9175,   9277,   9364,   9908, 
/* msg =   1381, deg =  7 */    147,   2066,   3331,   9166,   9355,   9741,   9920, 
/* msg =   1382, deg =  7 */    664,   2747,   3586,   9607,   9734,   9793,   9967, 
/* msg =   1383, deg =  7 */   1639,   2459,   4257,   9307,   9578,   9603,   9837, 
/* msg =   1384, deg =  7 */    460,   2600,   4205,   9203,   9313,   9847,   9889, 
/* msg =   1385, deg =  7 */    388,   2337,   4497,   9677,   9800,   9921,   9947, 
/* msg =   1386, deg =  7 */    248,   2998,   3768,   9180,   9252,   9654,   9965, 
/* msg =   1387, deg =  7 */   1557,   3085,   3455,   9519,   9655,   9688,   9781, 
/* msg =   1388, deg =  7 */   1156,   1897,   4738,   9172,   9236,   9411,   9647, 
/* msg =   1389, deg =  7 */    651,   2780,   4743,   9234,   9239,   9493,   9618, 
/* msg =   1390, deg =  7 */   1239,   2876,   3992,   9210,   9285,   9483,   9509, 
/* msg =   1391, deg =  7 */    556,   2976,   4449,   9575,   9579,   9629,   9961, 
/* msg =   1392, deg =  7 */     25,   2309,   4633,   9284,   9423,   9821,   9852, 
/* msg =   1393, deg =  7 */    619,   3058,   4541,   9281,   9382,   9527,   9617, 
/* msg =   1394, deg =  7 */    705,   2521,   3574,   9300,   9320,   9401,   9685, 
/* msg =   1395, deg =  7 */    182,   2860,   4136,   9250,   9296,   9433,   9516, 
/* msg =   1396, deg =  7 */    244,   2190,   4711,   9143,   9420,   9464,   9597, 
/* msg =   1397, deg =  7 */    724,   2439,   3891,   9494,   9651,   9731,   9779, 
/* msg =   1398, deg =  7 */   1472,   2057,   4966,   9268,   9323,   9644,   9813, 
/* msg =   1399, deg =  7 */    778,   2047,   4290,   9488,   9558,   9898,   9932, 
/* msg =   1400, deg =  7 */    466,   2091,   4327,   9162,   9167,   9357,   9898, 
/* msg =   1401, deg =  7 */   1122,   2333,   4406,   9348,   9377,   9785,   9947, 
/* msg =   1402, deg =  7 */    916,   2349,   4768,   9280,   9584,   9612,   9775, 
/* msg =   1403, deg =  7 */    887,   2165,   4874,   9314,   9474,   9735,   9891, 
/* msg =   1404, deg =  7 */   1244,   1859,   4620,   9361,   9623,   9653,   9718, 
/* msg =   1405, deg =  7 */      9,   2117,   4153,   9225,   9278,   9486,   9946, 
/* msg =   1406, deg =  7 */   1135,   2295,   3818,   9749,   9923,   9955,   9969, 
/* msg =   1407, deg =  7 */     24,   3254,   3430,   9158,   9595,   9799,   9935, 
/* msg =   1408, deg =  7 */    799,   2386,   4499,   9145,   9391,   9807,   9822, 
/* msg =   1409, deg =  7 */    119,   3287,   3506,   9156,   9537,   9607,   9817, 
/* msg =   1410, deg =  7 */    358,   2062,   3727,   9347,   9816,   9877,   9906, 
/* msg =   1411, deg =  7 */   1254,   2669,   4345,   9172,   9550,   9691,   9694, 
/* msg =   1412, deg =  7 */   1182,   2084,   3635,   9229,   9658,   9786,   9798, 
/* msg =   1413, deg =  7 */    371,   1763,   3871,   9156,   9420,   9422,   9724, 
/* msg =   1414, deg =  7 */    242,   2255,   4488,   9380,   9757,   9797,   9961, 
/* msg =   1415, deg =  7 */    298,   1802,   4766,   9521,   9612,   9615,   9861, 
/* msg =   1416, deg =  7 */    470,   1969,   4125,   9196,   9389,   9473,   9656, 
/* msg =   1417, deg =  7 */   1491,   2092,   4442,   9184,   9265,   9562,   9674, 
/* msg =   1418, deg =  7 */    395,   2484,   4795,   9173,   9234,   9850,   9882, 
/* msg =   1419, deg =  7 */    825,   2393,   4689,   9165,   9362,   9513,   9620, 
/* msg =   1420, deg =  7 */    219,   2478,   4413,   9418,   9549,   9903,   9945, 
/* msg =   1421, deg =  7 */   1044,   2891,   4032,   9170,   9749,   9852,   9901, 
/* msg =   1422, deg =  7 */    169,   2944,   3487,   9206,   9283,   9323,   9788, 
/* msg =   1423, deg =  7 */    781,   3145,   4029,   9531,   9582,   9647,   9910, 
/* msg =   1424, deg =  7 */    624,   2712,   4071,   9178,   9448,   9662,   9746, 
/* msg =   1425, deg =  7 */   1440,   2103,   3560,   9214,   9256,   9614,   9891, 
/* msg =   1426, deg =  7 */     52,   2995,   4020,   9259,   9604,   9764,   9792, 
/* msg =   1427, deg =  7 */   1100,   2098,   4570,   9290,   9592,   9608,   9826, 
/* msg =   1428, deg =  7 */   1550,   1905,   4399,   9508,   9711,   9765,   9830, 
/* msg =   1429, deg =  7 */   1001,   2626,   4137,   9522,   9585,   9758,   9874, 
/* msg =   1430, deg =  7 */   1636,   1908,   3654,   9373,   9490,   9498,   9875, 
/* msg =   1431, deg =  7 */   1030,   2413,   4929,   9304,   9533,   9644,   9933, 
/* msg =   1432, deg =  7 */    591,   2416,   4463,   9218,   9346,   9505,   9789, 
/* msg =   1433, deg =  7 */    192,   3233,   3451,   9314,   9526,   9575,   9655, 
/* msg =   1434, deg =  7 */   1609,   2336,   3730,   9271,   9349,   9440,   9837, 
/* msg =   1435, deg =  7 */    642,   2587,   3913,   9606,   9649,   9906,   9915, 
/* msg =   1436, deg =  7 */    822,   2858,   3616,   9350,   9697,   9721,   9959, 
/* msg =   1437, deg =  7 */    485,   2740,   4983,   9297,   9478,   9513,   9911, 
/* msg =   1438, deg =  7 */    109,   2018,   4664,   9559,   9628,   9869,   9897, 
/* msg =   1439, deg =  7 */   1516,   1823,   4441,   9149,   9506,   9677,   9957, 
/* msg =   1440, deg =  7 */     43,   1900,   4775,   9236,   9308,   9326,   9908, 
/* msg =   1441, deg =  7 */    115,   2391,   4871,   9259,   9322,   9591,   9971, 
/* msg =   1442, deg =  7 */    693,   2974,   4208,   9503,   9796,   9919,   9954, 
/* msg =   1443, deg =  7 */    613,   3053,   4970,   9266,   9325,   9414,   9750, 
/* msg =   1444, deg =  7 */   1084,   2310,   4872,   9294,   9517,   9733,   9832, 
/* msg =   1445, deg =  7 */    221,   1699,   3445,   9271,   9477,   9698,   9829, 
/* msg =   1446, deg =  7 */     10,   2138,   3987,   9174,   9179,   9792,   9923, 
/* msg =   1447, deg =  7 */    608,   2254,   4982,   9229,   9441,   9562,   9969, 
/* msg =   1448, deg =  7 */   1608,   2656,   3687,   9260,   9275,   9368,   9842, 
/* msg =   1449, deg =  7 */    609,   2749,   3708,   9423,   9496,   9571,   9811, 
/* msg =   1450, deg =  7 */    282,   2538,   4395,   9182,   9453,   9582,   9697, 
/* msg =   1451, deg =  7 */   1291,   2765,   3857,   9524,   9759,   9773,   9774, 
/* msg =   1452, deg =  7 */   1569,   2574,   3389,   9517,   9553,   9858,   9872, 
/* msg =   1453, deg =  7 */    347,   2131,   4353,   9418,   9535,   9556,   9874, 
/* msg =   1454, deg =  7 */    633,   2676,   3449,   9560,   9571,   9715,   9772, 
/* msg =   1455, deg =  7 */    670,   2470,   4935,   9547,   9663,   9863,   9893, 
/* msg =   1456, deg =  7 */   1583,   2002,   4292,   9249,   9289,   9544,   9555, 
/* msg =   1457, deg =  7 */   1145,   2121,   4209,   9360,   9705,   9715,   9735, 
/* msg =   1458, deg =  7 */    804,   2342,   4713,   9424,   9548,   9661,   9667, 
/* msg =   1459, deg =  7 */    654,   3260,   4501,   9142,   9425,   9595,   9750, 
/* msg =   1460, deg =  7 */    548,   1750,   3486,   9262,   9269,   9845,   9964, 
/* msg =   1461, deg =  7 */    180,   1691,   4944,   9174,   9497,   9717,   9798, 
/* msg =   1462, deg =  7 */    481,   2241,   4258,   9438,   9488,   9683,   9685, 
/* msg =   1463, deg =  7 */    894,   2782,   4369,   9157,   9211,   9263,   9906, 
/* msg =   1464, deg =  7 */   1541,   1954,   3384,   9215,   9261,   9411,   9917, 
/* msg =   1465, deg =  7 */    971,   2674,   3936,   9343,   9377,   9561,   9871, 
/* msg =   1466, deg =  7 */     69,   2593,   4254,   9502,   9596,   9739,   9826, 
/* msg =   1467, deg =  7 */    760,   2493,   4430,   9223,   9472,   9696,   9937, 
/* msg =   1468, deg =  7 */    468,   2667,   4548,   9200,   9564,   9689,   9931, 
/* msg =   1469, deg =  7 */   1467,   2951,   4841,   9291,   9471,   9599,   9888, 
/* msg =   1470, deg =  7 */      7,   3000,   4375,   9333,   9563,   9874,   9887, 
/* msg =   1471, deg =  7 */    947,   2437,   4401,   9191,   9352,   9524,   9926, 
/* msg =   1472, deg =  7 */    390,   2079,   4691,   9436,   9776,   9862,   9948, 
/* msg =   1473, deg =  7 */   1504,   2601,   4686,   9268,   9526,   9728,   9875, 
/* msg =   1474, deg =  7 */    408,   2708,   3491,   9469,   9609,   9851,   9854, 
/* msg =   1475, deg =  7 */    367,   2063,   3756,   9457,   9605,   9726,   9729, 
/* msg =   1476, deg =  7 */    919,   2997,   4575,   9155,   9504,   9636,   9770, 
/* msg =   1477, deg =  7 */    197,   2479,   4338,   9197,   9447,   9527,   9585, 
/* msg =   1478, deg =  7 */     26,   2607,   4796,   9219,   9237,   9715,   9804, 
/* msg =   1479, deg =  7 */    958,   2183,   3958,   9213,   9227,   9459,   9966, 
/* msg =   1480, deg =  7 */    685,   3305,   3454,   9467,   9522,   9612,   9746, 
/* msg =   1481, deg =  7 */    263,   2476,   3748,   9281,   9439,   9766,   9920, 
/* msg =   1482, deg =  7 */   1563,   2956,   3634,   9345,   9419,   9453,   9810, 
/* msg =   1483, deg =  7 */   1165,   3185,   4746,   9171,   9873,   9878,   9918, 
/* msg =   1484, deg =  7 */    250,   2323,   4244,   9300,   9509,   9727,   9748, 
/* msg =   1485, deg =  7 */    265,   2709,   4303,   9204,   9580,   9764,   9820, 
/* msg =   1486, deg =  7 */   1429,   1762,   4781,   9257,   9316,   9424,   9494, 
/* msg =   1487, deg =  7 */    731,   2411,   3608,   9179,   9653,   9812,   9909, 
/* msg =   1488, deg =  7 */    880,   1756,   4424,   9223,   9359,   9562,   9616, 
/* msg =   1489, deg =  7 */   1635,   3304,   3948,   9171,   9214,   9356,   9372, 
/* msg =   1490, deg =  7 */   1161,   3153,   3979,   9271,   9793,   9918,   9942, 
/* msg =   1491, deg =  7 */   1230,   2812,   4270,   9336,   9381,   9434,   9803, 
/* msg =   1492, deg =  7 */    123,   3291,   4723,   9231,   9349,   9584,   9946, 
/* msg =   1493, deg =  7 */    891,   2670,   4428,   9434,   9436,   9641,   9799, 
/* msg =   1494, deg =  7 */    171,   2647,   4751,   9658,   9761,   9838,   9905, 
/* msg =   1495, deg =  7 */    217,   2275,   3588,   9241,   9381,   9382,   9599, 
/* msg =   1496, deg =  7 */    835,   2032,   3825,   9222,   9244,   9776,   9865, 
/* msg =   1497, deg =  7 */    910,   2702,   4321,   9303,   9352,   9384,   9842, 
/* msg =   1498, deg =  7 */    184,   2611,   3940,   9233,   9742,   9851,   9868, 
/* msg =   1499, deg =  7 */   1070,   1747,   4515,   9354,   9384,   9577,   9695, 
/* msg =   1500, deg =  7 */   1310,   2655,   3843,   9275,   9472,   9666,   9916, 
/* msg =   1501, deg =  7 */    299,   3064,   3580,   9253,   9478,   9594,   9951, 
/* msg =   1502, deg =  7 */   1474,   2217,   4925,   9230,   9304,   9357,   9935, 
/* msg =   1503, deg =  7 */    477,   1686,   4226,   9188,   9336,   9364,   9939, 
/* msg =   1504, deg =  7 */     22,   2236,   4141,   9205,   9332,   9400,   9610, 
/* msg =   1505, deg =  7 */    206,   2673,   4645,   9170,   9242,   9619,   9637, 
/* msg =   1506, deg =  7 */     19,   1851,   3338,   9596,   9628,   9631,   9759, 
/* msg =   1507, deg =  7 */    454,   2791,   3783,   9182,   9210,   9749,   9790, 
/* msg =   1508, deg =  7 */     16,   2990,   4586,   9366,   9370,   9584,   9664, 
/* msg =   1509, deg =  7 */    962,   1836,   4758,   9349,   9428,   9674,   9969, 
/* msg =   1510, deg =  7 */   1506,   1961,   3831,   9313,   9552,   9554,   9721, 
/* msg =   1511, deg =  7 */    480,   2836,   3823,   9221,   9226,   9378,   9654, 
/* msg =   1512, deg =  7 */   1439,   2426,   4707,   9199,   9476,   9693,   9855, 
/* msg =   1513, deg =  7 */   1477,   2800,   4608,   9157,   9323,   9463,   9678, 
/* msg =   1514, deg =  7 */   1267,   1924,   4546,   9446,   9543,   9723,   9737, 
/* msg =   1515, deg =  7 */   1378,   2380,   3886,   9247,   9673,   9687,   9921, 
/* msg =   1516, deg =  7 */    896,   2025,   3922,   9473,   9551,   9879,   9931, 
/* msg =   1517, deg =  7 */   1272,   1903,   3860,   9205,   9283,   9377,   9547, 
/* msg =   1518, deg =  7 */   1388,   2837,   4097,   9171,   9547,   9668,   9947, 
/* msg =   1519, deg =  7 */   1292,   2427,   3514,   9198,   9623,   9853,   9912, 
/* msg =   1520, deg =  7 */   1412,   1853,   3325,   9318,   9359,   9801,   9934, 
/* msg =   1521, deg =  7 */    783,   3148,   4283,   9311,   9353,   9859,   9895, 
/* msg =   1522, deg =  7 */    836,   3188,   3388,   9345,   9351,   9390,   9458, 
/* msg =   1523, deg =  7 */    246,   2753,   3495,   9194,   9485,   9657,   9971, 
/* msg =   1524, deg =  7 */    534,   1791,   4335,   9287,   9321,   9336,   9767, 
/* msg =   1525, deg =  7 */   1138,   2580,   4377,   9227,   9327,   9444,   9466, 
/* msg =   1526, deg =  7 */   1013,   2389,   3402,   9298,   9387,   9519,   9782, 
/* msg =   1527, deg =  7 */   1312,   2311,   3364,   9278,   9342,   9470,   9770, 
/* msg =   1528, deg =  7 */    374,   2732,   3474,   9225,   9443,   9854,   9950, 
/* msg =   1529, deg =  7 */   1233,   2161,   3618,   9450,   9471,   9706,   9908, 
/* msg =   1530, deg =  7 */   1496,   2605,   3461,   9242,   9586,   9595,   9750, 
/* msg =   1531, deg =  7 */    545,   2142,   4714,   9212,   9230,   9617,   9865, 
/* msg =   1532, deg =  7 */     35,   2683,   3761,   9152,   9187,   9431,   9894, 
/* msg =   1533, deg =  7 */   1527,   2905,   3802,   9149,   9317,   9413,   9549, 
/* msg =   1534, deg =  7 */   1316,   3258,   3516,   9432,   9553,   9659,   9743, 
/* msg =   1535, deg =  7 */     34,   1982,   3568,   9680,   9739,   9769,   9856, 
/* msg =   1536, deg =  7 */    718,   3016,   4199,   9383,   9456,   9528,   9808, 
/* msg =   1537, deg =  7 */    448,   2001,   4926,   9346,   9454,   9611,   9858, 
/* msg =   1538, deg =  7 */    504,   2958,   3861,   9801,   9827,   9839,   9847, 
/* msg =   1539, deg =  7 */   1115,   2544,   4065,   9177,   9423,   9675,   9902, 
/* msg =   1540, deg =  7 */   1038,   3318,   3810,   9369,   9374,   9496,   9825, 
/* msg =   1541, deg =  7 */    346,   2012,   4802,   9231,   9337,   9648,   9955, 
/* msg =   1542, deg =  7 */    768,   2728,   4625,   9409,   9414,   9683,   9821, 
/* msg =   1543, deg =  7 */      1,   2563,   4721,   9190,   9234,   9392,   9582, 
/* msg =   1544, deg =  7 */   1498,   2736,   3581,   9148,   9282,   9347,   9533, 
/* msg =   1545, deg =  7 */    607,   1793,   3620,   9338,   9700,   9878,   9970, 
/* msg =   1546, deg =  7 */   1151,   3280,   3713,   9404,   9756,   9764,   9846, 
/* msg =   1547, deg =  7 */    406,   2779,   3863,   9217,   9329,   9670,   9941, 
/* msg =   1548, deg =  7 */   1346,   2859,   4797,   9205,   9508,   9556,   9942, 
/* msg =   1549, deg =  7 */    691,   1938,   3556,   9485,   9491,   9654,   9849, 
/* msg =   1550, deg =  7 */    144,   2089,   4457,   9167,   9208,   9896,   9900, 
/* msg =   1551, deg =  7 */    821,   2491,   3978,   9181,   9240,   9355,   9626, 
/* msg =   1552, deg =  7 */    751,   2135,   4451,   9369,   9386,   9907,   9970, 
/* msg =   1553, deg =  7 */    612,   2759,   3379,   9187,   9564,   9817,   9925, 
/* msg =   1554, deg =  7 */   1075,   2630,   3811,   9475,   9651,   9652,   9760, 
/* msg =   1555, deg =  7 */    366,   2738,   3819,   9267,   9308,   9615,   9846, 
/* msg =   1556, deg =  7 */   1596,   1917,   3644,   9207,   9347,   9465,   9828, 
/* msg =   1557, deg =  7 */    680,   1804,   4271,   9458,   9683,   9722,   9766, 
/* msg =   1558, deg =  7 */    391,   3189,   3416,   9239,   9532,   9575,   9634, 
/* msg =   1559, deg =  7 */     28,   2596,   4545,   9325,   9363,   9733,   9961, 
/* msg =   1560, deg =  7 */    600,   3279,   3396,   9191,   9684,   9695,   9785, 
/* msg =   1561, deg =  7 */    567,   1682,   3456,   9253,   9392,   9421,   9666, 
/* msg =   1562, deg =  7 */   1031,   1920,   4833,   9263,   9317,   9552,   9732, 
/* msg =   1563, deg =  7 */     98,   2069,   4956,   9602,   9682,   9735,   9900, 
/* msg =   1564, deg =  7 */     87,   3294,   4641,   9426,   9669,   9693,   9750, 
/* msg =   1565, deg =  7 */   1658,   2855,   3998,   9189,   9327,   9622,   9963, 
/* msg =   1566, deg =  7 */    225,   2866,   4145,   9243,   9299,   9597,   9955, 
/* msg =   1567, deg =  7 */   1428,   2374,   4068,   9301,   9376,   9573,   9723, 
/* msg =   1568, deg =  7 */   1268,   1728,   4373,   9800,   9807,   9824,   9867, 
/* msg =   1569, deg =  7 */   1331,   2267,   4177,   9160,   9388,   9871,   9914, 
/* msg =   1570, deg =  7 */   1141,   2483,   3951,   9147,   9511,   9681,   9960, 
/* msg =   1571, deg =  7 */   1307,   2867,   4275,   9193,   9358,   9631,   9700, 
/* msg =   1572, deg =  7 */    223,   2170,   4171,   9319,   9420,   9628,   9634, 
/* msg =   1573, deg =  7 */   1444,   2278,   3779,   9174,   9433,   9769,   9949, 
/* msg =   1574, deg =  7 */    838,   2935,   3551,   9268,   9784,   9805,   9916, 
/* msg =   1575, deg =  7 */   1240,   3032,   3895,   9151,   9639,   9702,   9703, 
/* msg =   1576, deg =  7 */   1293,   2044,   3459,   9146,   9271,   9345,   9664, 
/* msg =   1577, deg =  7 */    414,   2442,   3372,   9369,   9746,   9812,   9889, 
/* msg =   1578, deg =  7 */    562,   2532,   4717,   9308,   9333,   9892,   9927, 
/* msg =   1579, deg =  7 */   1065,   2804,   4220,   9340,   9441,   9725,   9747, 
/* msg =   1580, deg =  7 */    101,   1948,   4708,   9319,   9429,   9442,   9651, 
/* msg =   1581, deg =  7 */    187,   2502,   4336,   9187,   9380,   9795,   9883, 
/* msg =   1582, deg =  7 */    389,   2691,   4478,   9233,   9529,   9650,   9963, 
/* msg =   1583, deg =  7 */    709,   2612,   3888,   9223,   9389,   9473,   9931, 
/* msg =   1584, deg =  7 */    852,   2433,   3908,   9246,   9602,   9696,   9830, 
/* msg =   1585, deg =  7 */    301,   2036,   4072,   9199,   9709,   9757,   9892, 
/* msg =   1586, deg =  7 */   1189,   2045,   3401,   9323,   9445,   9559,   9627, 
/* msg =   1587, deg =  7 */    307,   2248,   4180,   9206,   9455,   9497,   9780, 
/* msg =   1588, deg =  7 */    996,   3316,   3592,   9163,   9661,   9769,   9912, 
/* msg =   1589, deg =  7 */   1419,   2172,   4965,   9168,   9404,   9911,   9913, 
/* msg =   1590, deg =  7 */    472,   2082,   4276,   9331,   9354,   9368,   9721, 
/* msg =   1591, deg =  7 */    344,   1675,   4680,   9238,   9378,   9386,   9588, 
/* msg =   1592, deg =  7 */     84,   2978,   3335,   9258,   9311,   9416,   9613, 
/* msg =   1593, deg =  7 */    588,   3002,   4773,   9388,   9469,   9756,   9856, 
/* msg =   1594, deg =  7 */     33,   2129,   4552,   9159,   9592,   9682,   9869, 
/* msg =   1595, deg =  7 */   1587,   2576,   4118,   9174,   9297,   9895,   9935, 
/* msg =   1596, deg =  7 */   1610,   2020,   3328,   9686,   9698,   9918,   9966, 
/* msg =   1597, deg =  7 */    430,   2528,   4910,   9270,   9428,   9910,   9954, 
/* msg =   1598, deg =  7 */   1466,   2692,   4288,   9518,   9723,   9872,   9883, 
/* msg =   1599, deg =  7 */   1323,   1973,   4320,   9418,   9439,   9631,   9687, 
/* msg =   1600, deg =  7 */    129,   2027,   3815,   9398,   9636,   9835,   9968, 
/* msg =   1601, deg =  7 */    669,   2682,   3848,   9166,   9312,   9581,   9705, 
/* msg =   1602, deg =  7 */   1186,   2557,   4182,   9264,   9417,   9483,   9736, 
/* msg =   1603, deg =  7 */     55,   2237,   3342,   9648,   9660,   9818,   9947, 
/* msg =   1604, deg =  7 */   1158,   2847,   3418,   9193,   9229,   9310,   9813, 
/* msg =   1605, deg =  7 */   1406,   2297,   4678,   9415,   9454,   9488,   9911, 
/* msg =   1606, deg =  7 */    871,   2794,   3923,   9396,   9432,   9504,   9622, 
/* msg =   1607, deg =  7 */   1131,   3156,   3622,   9204,   9236,   9730,   9782, 
/* msg =   1608, deg =  7 */   1644,   3056,   4777,   9197,   9478,   9558,   9657, 
/* msg =   1609, deg =  7 */   1560,   2137,   4069,   9365,   9748,   9757,   9941, 
/* msg =   1610, deg =  7 */    560,   3081,   3434,   9275,   9570,   9922,   9953, 
/* msg =   1611, deg =  7 */    514,   2090,   4804,   9222,   9441,   9912,   9946, 
/* msg =   1612, deg =  7 */   1263,   2861,   4811,   9179,   9186,   9194,   9888, 
/* msg =   1613, deg =  7 */   1641,   2907,   3693,   9372,   9459,   9518,   9574, 
/* msg =   1614, deg =  7 */   1309,   1781,   3446,   9253,   9267,   9538,   9641, 
/* msg =   1615, deg =  7 */    697,   2693,   4531,   9329,   9352,   9391,   9754, 
/* msg =   1616, deg =  7 */   1193,   2579,   4361,   9536,   9582,   9606,   9707, 
/* msg =   1617, deg =  7 */    186,   1936,   4348,   9300,   9448,   9713,   9834, 
/* msg =   1618, deg =  7 */   1120,   2629,   4425,   9258,   9403,   9500,   9948, 
/* msg =   1619, deg =  7 */    449,   3208,   4749,   9397,   9652,   9742,   9943, 
/* msg =   1620, deg =  7 */    482,   2830,   4144,   9144,   9261,   9326,   9787, 
/* msg =   1621, deg =  7 */   1080,   3138,   4565,   9269,   9307,   9401,   9900, 
/* msg =   1622, deg =  7 */    801,   2213,   4508,   9421,   9508,   9815,   9823, 
/* msg =   1623, deg =  7 */   1325,   2087,   4754,   9156,   9641,   9901,   9968, 
/* msg =   1624, deg =  7 */    690,   2042,   4146,   9224,   9360,   9467,   9820, 
/* msg =   1625, deg =  7 */     38,   2862,   4962,   9320,   9445,   9489,   9521, 
/* msg =   1626, deg =  7 */     78,   2741,   4644,   9457,   9696,   9894,   9957, 
/* msg =   1627, deg =  7 */    974,   2146,   3924,   9366,   9446,   9707,   9970, 
/* msg =   1628, deg =  7 */   1054,   2761,   4100,   9481,   9681,   9708,   9755, 
/* msg =   1629, deg =  7 */    500,   2904,   3866,   9164,   9188,   9347,   9880, 
/* msg =   1630, deg =  7 */    475,   2094,   4277,   9168,   9358,   9403,   9408, 
/* msg =   1631, deg =  7 */     80,   2340,   3609,   9507,   9573,   9743,   9747, 
/* msg =   1632, deg =  7 */     81,   2520,   3765,   9152,   9281,   9817,   9880, 
/* msg =   1633, deg =  7 */   1423,   3311,   3944,   9263,   9367,   9390,   9645, 
/* msg =   1634, deg =  7 */    447,   2420,   4646,   9262,   9602,   9646,   9944, 
/* msg =   1635, deg =  7 */    310,   3172,   4129,   9232,   9280,   9757,   9920, 
/* msg =   1636, deg =  7 */    444,   2964,   3579,   9322,   9399,   9739,   9958, 
/* msg =   1637, deg =  7 */    173,   2710,   3594,   9153,   9402,   9428,   9917, 
/* msg =   1638, deg =  7 */   1258,   2947,   4950,   9335,   9465,   9599,   9780, 
/* msg =   1639, deg =  7 */   1514,   1814,   4328,   9221,   9483,   9524,   9607, 
/* msg =   1640, deg =  7 */   1539,   2869,   3844,   9501,   9528,   9625,   9926, 
/* msg =   1641, deg =  7 */    590,   2307,   4540,   9437,   9536,   9918,   9923, 
/* msg =   1642, deg =  7 */     21,   2037,   3849,   9147,   9185,   9335,   9848, 
/* msg =   1643, deg =  7 */   1089,   1844,   3623,   9277,   9587,   9647,   9910, 
/* msg =   1644, deg =  7 */   1425,   3160,   3931,   9198,   9202,   9298,   9732, 
/* msg =   1645, deg =  7 */     96,   2013,   3800,   9320,   9590,   9782,   9853, 
/* msg =   1646, deg =  7 */   1379,   2646,   4447,   9505,   9881,   9899,   9938, 
/* msg =   1647, deg =  7 */    376,   1681,   4102,   9470,   9779,   9831,   9836, 
/* msg =   1648, deg =  7 */    411,   3007,   4719,   9201,   9209,   9219,   9724, 
/* msg =   1649, deg =  7 */    761,   2017,   4967,   9467,   9801,   9944,   9964, 
/* msg =   1650, deg =  7 */    861,   2786,   4583,   9200,   9255,   9318,   9690, 
/* msg =   1651, deg =  7 */    111,   2201,   4471,   9235,   9350,   9509,   9960, 
/* msg =   1652, deg =  7 */   1624,   2603,   3679,   9205,   9212,   9522,   9730, 
/* msg =   1653, deg =  7 */    296,   2745,   4042,   9290,   9600,   9697,   9857, 
/* msg =   1654, deg =  7 */    503,   1988,   3806,   9276,   9752,   9763,   9963, 
/* msg =   1655, deg =  7 */    925,   2789,   4158,   9166,   9309,   9814,   9952, 
/* msg =   1656, deg =  7 */   1384,   2475,   4364,   9355,   9447,   9648,   9943, 
/* msg =   1657, deg =  7 */    806,   2851,   4214,   9202,   9351,   9492,   9767, 
/* msg =   1658, deg =  7 */   1589,   2230,   4653,   9222,   9256,   9306,   9933, 
/* msg =   1659, deg =  7 */    151,   1779,   3684,   9456,   9630,   9772,   9838, 
/* msg =   1660, deg =  7 */   1530,   3269,   4420,   9455,   9530,   9560,   9578, 
/* msg =   1661, deg =  7 */   1484,   1882,   4117,   9246,   9302,   9635,   9678, 
/* msg =   1662, deg =  7 */    162,   2809,   4516,   5644,   6974,   7416,   8955, 
/* msg =   1663, deg =  7 */   1600,   2530,   3530,   5315,   7705,   7932,   8834, 
/* msg =   1664, deg =  7 */     97,   2835,   4632,   6452,   6694,   7656,   8925, 
/* msg =   1665, deg =  7 */   1296,   1915,   3428,   6119,   8200,   8289,   8904, 
/* msg =   1666, deg =  7 */    496,   2452,   4506,   6095,   7516,   8029,   8852, 
/* msg =   1667, deg =  7 */   1430,   3171,   4421,   6215,   6894,   7063,   8497, 
/* msg =   1668, deg =  7 */    567,   1726,   3852,   5404,   7460,   7664,   8780, 
/* msg =   1669, deg =  7 */    140,   2510,   3866,   5904,   7890,   8180,   8651, 
/* msg =   1670, deg =  7 */    861,   2040,   4959,   6255,   7279,   8115,   8853, 
/* msg =   1671, deg =  7 */   1299,   2798,   4026,   5313,   7562,   7617,   8700, 
/* msg =   1672, deg =  7 */    240,   1691,   3952,   5019,   7729,   8154,   9083, 
/* msg =   1673, deg =  7 */    646,   1908,   4030,   6167,   7639,   7825,   8862, 
/* msg =   1674, deg =  7 */    804,   2048,   4025,   6529,   6798,   7261,   9068, 
/* msg =   1675, deg =  7 */   1191,   2101,   4271,   5892,   6703,   6730,   9054, 
/* msg =   1676, deg =  7 */    770,   2473,   3806,   6016,   7764,   7884,   8864, 
/* msg =   1677, deg =  7 */   1336,   3037,   4742,   5920,   6988,   7670,   8691, 
/* msg =   1678, deg =  7 */   1470,   3066,   4179,   6281,   6792,   7783,   8343, 
/* msg =   1679, deg =  7 */    459,   1975,   3941,   6491,   7290,   7891,   8467, 
/* msg =   1680, deg =  7 */    703,   2585,   3487,   5655,   8169,   8170,   8786, 
/* msg =   1681, deg =  7 */    790,   1954,   4266,   6011,   6839,   7960,   8891, 
/* msg =   1682, deg =  7 */    613,   1978,   3354,   5222,   7042,   8133,   8457, 
/* msg =   1683, deg =  7 */    421,   2925,   3749,   5208,   7694,   7812,   8566, 
/* msg =   1684, deg =  7 */   1166,   3255,   4048,   5321,   7412,   7879,   9034, 
/* msg =   1685, deg =  7 */   1048,   1779,   3884,   5544,   6838,   7618,   9035, 
/* msg =   1686, deg =  7 */     83,   2021,   3544,   5350,   7614,   7883,   8743, 
/* msg =   1687, deg =  7 */    780,   1786,   4962,   5277,   7281,   7461,   8801, 
/* msg =   1688, deg =  7 */    490,   3137,   4504,   6318,   6930,   7311,   8682, 
/* msg =   1689, deg =  7 */     67,   2075,   4404,   5914,   6822,   7354,   8313, 
/* msg =   1690, deg =  7 */    397,   1792,   4807,   6498,   7048,   8247,   8529, 
/* msg =   1691, deg =  7 */   1197,   2166,   3774,   5370,   7829,   8255,   8326, 
/* msg =   1692, deg =  7 */    184,   1925,   4460,   5697,   7989,   8101,   8941, 
/* msg =   1693, deg =  7 */    751,   3166,   3423,   5394,   7609,   8163,   9016, 
/* msg =   1694, deg =  7 */    715,   2163,   4395,   4994,   7347,   8089,   8408, 
/* msg =   1695, deg =  7 */    629,   1742,   4487,   6460,   7219,   7590,   8421, 
/* msg =   1696, deg =  7 */   1140,   2721,   4708,   6602,   7320,   7888,   8908, 
/* msg =   1697, deg =  7 */    823,   1974,   4777,   6367,   7105,   7889,   8503, 
/* msg =   1698, deg =  7 */   1513,   2030,   3958,   6116,   7024,   7723,   8917, 
/* msg =   1699, deg =  7 */   1164,   2081,   3653,   5717,   6845,   7737,   8315, 
/* msg =   1700, deg =  7 */    180,   2820,   3450,   5933,   6687,   6925,   8572, 
/* msg =   1701, deg =  7 */    380,   2192,   4006,   5188,   7154,   7611,   8783, 
/* msg =   1702, deg =  7 */    636,   3043,   4673,   5673,   6682,   7587,   9050, 
/* msg =   1703, deg =  7 */   1512,   2387,   3825,   5426,   7685,   8196,   9136, 
/* msg =   1704, deg =  7 */    546,   3224,   3557,   5245,   7243,   7875,   8664, 
/* msg =   1705, deg =  7 */   1377,   1873,   4680,   5967,   7124,   7716,   8627, 
/* msg =   1706, deg =  7 */    320,   3321,   4556,   6137,   7352,   7489,   8835, 
/* msg =   1707, deg =  7 */    116,   1999,   4903,   5064,   7492,   8304,   8914, 
/* msg =   1708, deg =  7 */    261,   2059,   3839,   6074,   7645,   8173,   9131, 
/* msg =   1709, deg =  7 */    581,   2819,   4588,   5241,   6926,   6977,   8956, 
/* msg =   1710, deg =  7 */   1659,   3091,   4846,   6368,   6694,   7495,   8920, 
/* msg =   1711, deg =  7 */     16,   2591,   4332,   6502,   6699,   7147,   9130, 
/* msg =   1712, deg =  7 */    168,   1918,   4913,   6216,   7142,   7818,   8332, 
/* msg =   1713, deg =  7 */    847,   3226,   4222,   5466,   7191,   7635,   8414, 
/* msg =   1714, deg =  7 */    763,   1891,   4895,   6433,   7561,   8166,   8340, 
/* msg =   1715, deg =  7 */   1210,   2748,   4307,   5662,   6683,   7253,   9023, 
/* msg =   1716, deg =  7 */    530,   2659,   3457,   5568,   7627,   8268,   8916, 
/* msg =   1717, deg =  7 */   1331,   2517,   4675,   5870,   7049,   7599,   8374, 
/* msg =   1718, deg =  7 */   1051,   2740,   3712,   5772,   6778,   7355,   8892, 
/* msg =   1719, deg =  7 */    949,   3125,   4858,   6302,   6807,   7032,   8899, 
/* msg =   1720, deg =  7 */   1423,   3241,   4049,   5896,   7008,   7882,   8861, 
/* msg =   1721, deg =  7 */   1510,   2491,   4433,   5798,   7042,   7563,   8785, 
/* msg =   1722, deg =  7 */    875,   2345,   3814,   5089,   7244,   8054,   9043, 
/* msg =   1723, deg =  7 */   1155,   2100,   4880,   5504,   6949,   7912,   9072, 
/* msg =   1724, deg =  7 */    287,   2106,   4361,   5086,   6692,   7915,   8625, 
/* msg =   1725, deg =  7 */   1217,   2404,   3725,   6591,   6810,   7362,   8394, 
/* msg =   1726, deg =  7 */    513,   2784,   4791,   5583,   7163,   8287,   9056, 
/* msg =   1727, deg =  7 */      0,   2539,   3646,   5972,   6842,   8250,   8322, 
/* msg =   1728, deg =  7 */    813,   2005,   4802,   5047,   7391,   7710,   8396, 
/* msg =   1729, deg =  7 */    605,   1810,   4142,   5963,   6823,   7401,   8565, 
/* msg =   1730, deg =  7 */   1460,   1930,   4418,   5354,   7473,   8130,   8745, 
/* msg =   1731, deg =  7 */   1528,   2183,   4140,   5249,   7877,   7951,   8812, 
/* msg =   1732, deg =  7 */   1264,   2632,   4620,   5813,   7239,   7744,   8749, 
/* msg =   1733, deg =  7 */    880,   2171,   4203,   5226,   7038,   7297,   8800, 
/* msg =   1734, deg =  7 */   1583,   2518,   4582,   6345,   8087,   8113,   8368, 
/* msg =   1735, deg =  7 */   1653,   1870,   4441,   6547,   6864,   7521,   8515, 
/* msg =   1736, deg =  7 */    694,   1971,   3896,   6418,   7269,   7388,   8673, 
/* msg =   1737, deg =  7 */   1574,   2488,   3341,   5156,   7806,   7882,   8323, 
/* msg =   1738, deg =  7 */   1081,   1699,   4638,   6245,   6811,   8236,   8645, 
/* msg =   1739, deg =  7 */    992,   2576,   4011,   6570,   6751,   7767,   8428, 
/* msg =   1740, deg =  7 */    746,   2868,   4469,   6068,   7009,   7994,   8896, 
/* msg =   1741, deg =  7 */    655,   3072,   4373,   6604,   7961,   8066,   8774, 
/* msg =   1742, deg =  7 */    979,   2795,   3399,   6520,   7048,   8108,   8748, 
/* msg =   1743, deg =  7 */    466,   2134,   3417,   6273,   7338,   7553,   9110, 
/* msg =   1744, deg =  7 */    553,   3108,   4200,   5586,   7899,   8243,   8544, 
/* msg =   1745, deg =  7 */     24,   2301,   4952,   6348,   7418,   7546,   8598, 
/* msg =   1746, deg =  7 */    911,   1913,   3689,   5044,   7890,   8065,   8476, 
/* msg =   1747, deg =  7 */    159,   2778,   4029,   5472,   7285,   7679,   8693, 
/* msg =   1748, deg =  7 */   1172,   2854,   4374,   6132,   7425,   7444,   8838, 
/* msg =   1749, deg =  7 */   1412,   1968,   4169,   5298,   6799,   7708,   8784, 
/* msg =   1750, deg =  7 */    719,   2624,   4874,   6271,   7234,   7759,   8453, 
/* msg =   1751, deg =  7 */    747,   2246,   3769,   5124,   6686,   7576,   8410, 
/* msg =   1752, deg =  7 */    427,   2771,   4062,   5804,   6716,   6905,   9022, 
/* msg =   1753, deg =  7 */    551,   2550,   3437,   5258,   6936,   8201,   8538, 
/* msg =   1754, deg =  7 */    195,   1666,   3760,   5812,   6764,   6790,   9078, 
/* msg =   1755, deg =  7 */   1002,   1900,   3594,   6445,   7803,   7920,   8362, 
/* msg =   1756, deg =  7 */   1350,   2759,   4213,   5285,   7268,   7580,   8487, 
/* msg =   1757, deg =  7 */    789,   2407,   4731,   5141,   7532,   8131,   9010, 
/* msg =   1758, deg =  7 */    514,   2204,   4823,   6172,   7148,   7941,   8996, 
/* msg =   1759, deg =  7 */   1417,   2913,   3950,   6343,   6720,   6816,   8614, 
/* msg =   1760, deg =  7 */   1330,   3040,   3418,   6586,   7139,   8088,   8973, 
/* msg =   1761, deg =  7 */   1440,   2172,   3519,   5766,   6674,   7620,   8893, 
/* msg =   1762, deg =  7 */    641,   3210,   4451,   5893,   6661,   8299,   9109, 
/* msg =   1763, deg =  7 */    395,   3127,   3398,   6324,   7164,   8050,   8788, 
/* msg =   1764, deg =  7 */    619,   2956,   3708,   6630,   7087,   7623,   8412, 
/* msg =   1765, deg =  7 */    685,   1849,   4483,   5629,   6953,   8125,   8726, 
/* msg =   1766, deg =  7 */    499,   3192,   3436,   5556,   6684,   7416,   8587, 
/* msg =   1767, deg =  7 */   1083,   1992,   4967,   6420,   6803,   7248,   8699, 
/* msg =   1768, deg =  7 */   1651,   1717,   3923,   6233,   7066,   7765,   8993, 
/* msg =   1769, deg =  7 */    403,   2592,   4505,   5155,   6802,   7248,   8635, 
/* msg =   1770, deg =  7 */   1537,   3020,   4259,   5324,   7714,   7722,   8731, 
/* msg =   1771, deg =  7 */   1030,   1840,   4390,   5098,   7490,   8109,   8516, 
/* msg =   1772, deg =  7 */   1111,   2577,   4833,   6432,   6673,   7859,   8858, 
/* msg =   1773, deg =  7 */   1054,   2347,   3715,   5483,   6774,   7638,   8469, 
/* msg =   1774, deg =  7 */   1035,   2519,   3578,   5711,   7940,   8009,   9125, 
/* msg =   1775, deg =  7 */    407,   2317,   3606,   6374,   6910,   8293,   8591, 
/* msg =   1776, deg =  7 */   1534,   2763,   3978,   5835,   8181,   8257,   8663, 
/* msg =   1777, deg =  7 */    838,   2122,   4818,   5887,   7158,   7564,   9057, 
/* msg =   1778, deg =  7 */    796,   2727,   4090,   4992,   8001,   8015,   8618, 
/* msg =   1779, deg =  7 */    263,   2090,   4611,   5281,   7233,   7259,   9067, 
/* msg =   1780, deg =  7 */     52,   1722,   3929,   5535,   7250,   7426,   9101, 
/* msg =   1781, deg =  7 */    241,   2993,   3601,   5501,   7791,   7916,   8615, 
/* msg =   1782, deg =  7 */    374,   2096,   3830,   5707,   7098,   8148,   8657, 
/* msg =   1783, deg =  7 */    415,   3049,   4442,   6407,   6970,   8211,   8787, 
/* msg =   1784, deg =  7 */   1078,   3015,   4243,   5654,   7697,   8113,   8988, 
/* msg =   1785, deg =  7 */   1620,   2851,   3522,   5731,   6681,   7494,   8448, 
/* msg =   1786, deg =  7 */   1287,   2709,   3695,   6239,   7788,   8253,   9055, 
/* msg =   1787, deg =  7 */    119,   3235,   4357,   5826,   7001,   7372,   8596, 
/* msg =   1788, deg =  7 */   1032,   2362,   3676,   5415,   7588,   8004,   8881, 
/* msg =   1789, deg =  7 */   1385,   1927,   3422,   5008,   7700,   8049,   8840, 
/* msg =   1790, deg =  7 */    778,   2419,   4885,   6393,   6661,   7703,   8337, 
/* msg =   1791, deg =  7 */   1329,   1670,   4100,   6590,   7252,   7366,   9099, 
/* msg =   1792, deg =  7 */   1660,   3187,   4291,   6481,   7502,   7929,   8830, 
/* msg =   1793, deg =  7 */    464,   2547,   4511,   6157,   7269,   8292,   8507, 
/* msg =   1794, deg =  7 */    755,   1886,   4540,   5458,   8060,   8186,   8816, 
/* msg =   1795, deg =  7 */   1374,   2837,   4650,   4986,   7313,   7504,   8741, 
/* msg =   1796, deg =  7 */    443,   1777,   4476,   6453,   7152,   8063,   8813, 
/* msg =   1797, deg =  7 */   1141,   3104,   3740,   6421,   7091,   8278,   8455, 
/* msg =   1798, deg =  7 */   1610,   2451,   4596,   6640,   7524,   8066,   9044, 
/* msg =   1799, deg =  7 */    680,   3223,   3763,   5923,   6761,   7007,   8518, 
/* msg =   1800, deg =  7 */   1167,   2743,   3791,   5805,   7558,   8246,   8735, 
/* msg =   1801, deg =  7 */   1216,   2955,   3812,   5211,   6662,   6773,   8712, 
/* msg =   1802, deg =  7 */      5,   2354,   4859,   5719,   6806,   7014,   8825, 
/* msg =   1803, deg =  7 */   1261,   2610,   4518,   5083,   7595,   8291,   9080, 
/* msg =   1804, deg =  7 */   1300,   2173,   4173,   6169,   7568,   7867,   8677, 
/* msg =   1805, deg =  7 */   1383,   2789,   3632,   5048,   7553,   8144,   8776, 
/* msg =   1806, deg =  7 */    495,   1754,   3683,   5269,   7213,   7942,   8336, 
/* msg =   1807, deg =  7 */    489,   2772,   4896,   5445,   6794,   7789,   8522, 
/* msg =   1808, deg =  7 */   1074,   2156,   4965,   5899,   7180,   7648,   8725, 
/* msg =   1809, deg =  7 */    615,   2869,   4728,   5130,   7133,   7724,   8836, 
/* msg =   1810, deg =  7 */    268,   2877,   4835,   5307,   6911,   7779,   8597, 
/* msg =   1811, deg =  7 */   1611,   2520,   4570,   5238,   7191,   7818,   8417, 
/* msg =   1812, deg =  7 */    712,   2793,   4133,   6494,   6808,   7944,   8354, 
/* msg =   1813, deg =  7 */    752,   2574,   4721,   6424,   7389,   7998,   8821, 
/* msg =   1814, deg =  7 */    498,   2274,   4643,   5740,   7425,   8208,   8687, 
/* msg =   1815, deg =  7 */    571,   1694,   3581,   6371,   7541,   8029,   9065, 
/* msg =   1816, deg =  7 */   1436,   2351,   3858,   5152,   7745,   7748,   8905, 
/* msg =   1817, deg =  7 */   1011,   2014,   3768,   6364,   7062,   7760,   8471, 
/* msg =   1818, deg =  7 */    562,   2206,   3735,   6331,   7240,   8157,   9084, 
/* msg =   1819, deg =  7 */   1579,   3220,   3706,   6275,   6913,   7935,   8616, 
/* msg =   1820, deg =  7 */     29,   2332,   3474,   5513,   8024,   8181,   8909, 
/* msg =   1821, deg =  7 */    236,   2881,   4309,   5558,   7346,   8031,   8375, 
/* msg =   1822, deg =  7 */   1201,   2783,   3330,   5217,   7278,   8105,   8937, 
/* msg =   1823, deg =  7 */    463,   1721,   3571,   6379,   6834,   7477,   8742, 
/* msg =   1824, deg =  7 */   1125,   1914,   3887,   6184,   6757,   6929,   9137, 
/* msg =   1825, deg =  7 */   1640,   3021,   3477,   6546,   8142,   8253,   8809, 
/* msg =   1826, deg =  7 */    363,   2699,   3577,   6507,   8014,   8249,   8875, 
/* msg =   1827, deg =  7 */    418,   2169,   4806,   6387,   6690,   6996,   8723, 
/* msg =   1828, deg =  7 */   1629,   2120,   4012,   5959,   6950,   7899,   8637, 
/* msg =   1829, deg =  7 */    356,   2513,   4840,   6341,   7175,   7944,   8876, 
/* msg =   1830, deg =  7 */    527,   3292,   3720,   5274,   6758,   8039,   8363, 
/* msg =   1831, deg =  7 */    989,   2225,   4662,   6010,   7090,   8197,   8878, 
/* msg =   1832, deg =  7 */     66,   3257,   3835,   6496,   6726,   8302,   8573, 
/* msg =   1833, deg =  7 */    444,   3243,   3709,   6521,   6953,   7631,   8939, 
/* msg =   1834, deg =  7 */    902,   1763,   4093,   5851,   6811,   8207,   8583, 
/* msg =   1835, deg =  7 */    611,   2717,   4206,   5194,   6830,   7965,   8646, 
/* msg =   1836, deg =  7 */    539,   3169,   4462,   5432,   6997,   8180,   8569, 
/* msg =   1837, deg =  7 */   1099,   2119,   4289,   6285,   6806,   7626,   8356, 
/* msg =   1838, deg =  7 */    493,   2046,   3883,   6126,   7089,   8084,   8903, 
/* msg =   1839, deg =  7 */   1320,   3124,   4595,   5417,   7633,   8188,   8527, 
/* msg =   1840, deg =  7 */   1459,   2020,   3946,   6017,   6920,   7164,   8554, 
/* msg =   1841, deg =  7 */    732,   2909,   4529,   5229,   7343,   8002,   8505, 
/* msg =   1842, deg =  7 */   1557,   2280,   3953,   5847,   6679,   7201,   8739, 
/* msg =   1843, deg =  7 */    841,   1741,   3808,   5712,   6871,   7521,   8874, 
/* msg =   1844, deg =  7 */   1260,   3320,   4094,   5730,   7336,   8165,   9133, 
/* msg =   1845, deg =  7 */    749,   2138,   3918,   6294,   6706,   6972,   8381, 
/* msg =   1846, deg =  7 */    438,   2469,   3904,   5984,   7992,   8003,   8350, 
/* msg =   1847, deg =  7 */    955,   1924,   4191,   5987,   6739,   7718,   8734, 
/* msg =   1848, deg =  7 */    699,   3047,   3787,   5521,   6650,   7529,   9038, 
/* msg =   1849, deg =  7 */   1581,   2859,   4177,   6377,   8106,   8118,   8843, 
/* msg =   1850, deg =  7 */   1244,   1760,   3666,   6111,   6705,   7399,   8492, 
/* msg =   1851, deg =  7 */    661,   1796,   4813,   6646,   7473,   7911,   8924, 
/* msg =   1852, deg =  7 */    523,   2724,   4226,   5262,   7281,   7987,   8470, 
/* msg =   1853, deg =  7 */    707,   3055,   4188,   5433,   7288,   8091,   8650, 
/* msg =   1854, deg =  7 */    948,   2554,   4147,   5853,   7257,   8038,   8890, 
/* msg =   1855, deg =  7 */   1563,   1752,   4154,   5999,   7122,   7777,   8551, 
/* msg =   1856, deg =  7 */   1207,   2174,   4350,   6517,   6736,   7941,   8545, 
/* msg =   1857, deg =  7 */     35,   2153,   3513,   6303,   7293,   7860,   8865, 
/* msg =   1858, deg =  7 */   1595,   2611,   3515,   5170,   6913,   7110,   8652, 
/* msg =   1859, deg =  7 */   1478,   2500,   4339,   6543,   6918,   8300,   8799, 
/* msg =   1860, deg =  7 */   1103,   1831,   4830,   6243,   7730,   7836,   8938, 
/* msg =   1861, deg =  7 */    547,   2898,   4445,   5011,   6670,   7147,   8717, 
/* msg =   1862, deg =  7 */    153,   2216,   3524,   6121,   8231,   8276,   8658, 
/* msg =   1863, deg =  7 */    878,   1871,   4961,   6067,   7682,   8162,   8559, 
/* msg =   1864, deg =  7 */    146,   1822,   3892,   5947,   6668,   8097,   9051, 
/* msg =   1865, deg =  7 */    912,   1663,   4900,   5382,   6712,   7236,   8802, 
/* msg =   1866, deg =  7 */   1361,   2039,   4149,   5599,   7831,   7862,   8994, 
/* msg =   1867, deg =  7 */    480,   2309,   4385,   5459,   6683,   7641,   8613, 
/* msg =   1868, deg =  7 */    225,   3211,   4891,   5493,   7670,   7735,   8928, 
/* msg =   1869, deg =  7 */   1115,   2329,   3810,   5082,   6907,   8025,   8794, 
/* msg =   1870, deg =  7 */   1458,   2599,   3618,   5162,   7114,   7788,   8555, 
/* msg =   1871, deg =  7 */    212,   2275,   4694,   5358,   7683,   7704,   8951, 
/* msg =   1872, deg =  7 */   1138,   1756,   4124,   5408,   6836,   6863,   8979, 
/* msg =   1873, deg =  7 */   1097,   2107,   4162,   6338,   6852,   7024,   8629, 
/* msg =   1874, deg =  7 */    260,   3082,   4718,   5686,   6672,   8014,   9108, 
/* msg =   1875, deg =  7 */    248,   1853,   4819,   5018,   7877,   8101,   8984, 
/* msg =   1876, deg =  7 */    242,   2988,   4312,   6629,   6665,   7229,   8480, 
/* msg =   1877, deg =  7 */    594,   2239,   4412,   5001,   7168,   7764,   8355, 
/* msg =   1878, deg =  7 */     95,   2504,   3872,   5232,   6771,   8267,   8759, 
/* msg =   1879, deg =  7 */   1095,   1665,   3850,   6440,   6693,   7480,   8782, 
/* msg =   1880, deg =  7 */    815,   1751,   4907,   5199,   7734,   7863,   8887, 
/* msg =   1881, deg =  7 */    940,   3054,   4658,   5239,   8085,   8108,   8953, 
/* msg =   1882, deg =  7 */   1354,   2284,   3384,   6107,   8103,   8284,   8879, 
/* msg =   1883, deg =  7 */    917,   2665,   3730,   5265,   6673,   7178,   8353, 
/* msg =   1884, deg =  7 */   1173,   3071,   4562,   6582,   7644,   7922,   8643, 
/* msg =   1885, deg =  7 */    986,   2604,   3905,   5720,   7432,   8245,   8484, 
/* msg =   1886, deg =  7 */   1386,   1709,   4796,   5502,   7072,   7270,   8486, 
/* msg =   1887, deg =  7 */    580,   3306,   3503,   6023,   6831,   7172,   8751, 
/* msg =   1888, deg =  7 */   1203,   2066,   3845,   6313,   7659,   7920,   9120, 
/* msg =   1889, deg =  7 */    109,   2448,   3347,   5359,   7506,   8257,   8885, 
/* msg =   1890, deg =  7 */   1626,   2546,   4121,   5921,   7323,   7338,   8692, 
/* msg =   1891, deg =  7 */    622,   3181,   4735,   6231,   7644,   8153,   8440, 
/* msg =   1892, deg =  7 */    987,   3105,   3654,   6117,   7442,   7811,   9058, 
/* msg =   1893, deg =  7 */    774,   2160,   4234,   5022,   7104,   8247,   8681, 
/* msg =   1894, deg =  7 */    548,   1755,   3890,   6097,   7658,   8024,   8987, 
/* msg =   1895, deg =  7 */    249,   3078,   4669,   5579,   7486,   8056,   8506, 
/* msg =   1896, deg =  7 */    579,   3299,   3502,   5075,   7315,   7344,   8656, 
/* msg =   1897, deg =  7 */     42,   2943,   3833,   6386,   6957,   7535,   9100, 
/* msg =   1898, deg =  7 */    246,   2981,   4577,   6062,   7505,   8065,   8758, 
/* msg =   1899, deg =  7 */   1444,   2176,   3456,   6628,   6706,   7977,   8393, 
/* msg =   1900, deg =  7 */   1489,   2470,   4163,   5283,   7277,   7763,   9081, 
/* msg =   1901, deg =  7 */   1005,   2476,   4956,   5989,   6842,   7093,   8605, 
/* msg =   1902, deg =  7 */   1323,   2342,   3707,   6148,   7537,   7577,   8600, 
/* msg =   1903, deg =  7 */    816,   2794,   3928,   6553,   7811,   7972,   8390, 
/* msg =   1904, deg =  7 */   1073,   1719,   3745,   6415,   6885,   7747,   8767, 
/* msg =   1905, deg =  7 */    918,   2800,   4096,   6085,   7704,   7787,   9064, 
/* msg =   1906, deg =  7 */    271,   2799,   4523,   5938,   7184,   7500,   8851, 
/* msg =   1907, deg =  7 */   1033,   2563,   3721,   6443,   7674,   7708,   8855, 
/* msg =   1908, deg =  7 */     70,   2162,   4076,   5299,   7630,   8075,   8859, 
/* msg =   1909, deg =  7 */    723,   2596,   3674,   5883,   7002,   8046,   8380, 
/* msg =   1910, deg =  7 */    424,   3293,   4113,   5747,   6765,   8015,   8624, 
/* msg =   1911, deg =  7 */    187,   3242,   4193,   5447,   7501,   7728,   8708, 
/* msg =   1912, deg =  7 */    988,   2543,   3957,   5499,   7480,   7485,   8822, 
/* msg =   1913, deg =  7 */    417,   1880,   3657,   5345,   7082,   7745,   8461, 
/* msg =   1914, deg =  7 */    753,   3121,   4028,   5993,   7423,   7682,   8493, 
/* msg =   1915, deg =  7 */    797,   3186,   3374,   6040,   6747,   7193,   9029, 
/* msg =   1916, deg =  7 */    725,   1681,   4066,   5051,   6790,   7838,   8694, 
/* msg =   1917, deg =  7 */     18,   2936,   4348,   6644,   6685,   7380,   8401, 
/* msg =   1918, deg =  7 */    239,   1683,   3912,   5363,   7479,   8011,   8383, 
/* msg =   1919, deg =  7 */    253,   2894,   3700,   6020,   7195,   8191,   8562, 
/* msg =   1920, deg =  7 */    702,   1728,   4969,   5250,   6895,   7986,   8324, 
/* msg =   1921, deg =  7 */   1050,   2757,   4659,   5866,   6696,   7657,   8943, 
/* msg =   1922, deg =  7 */   1069,   2734,   4580,   5193,   6701,   7400,   8346, 
/* msg =   1923, deg =  7 */    784,   2439,   4800,   5529,   7534,   8147,   9052, 
/* msg =   1924, deg =  7 */   1013,   2995,   3548,   5288,   7526,   7607,   9011, 
/* msg =   1925, deg =  7 */    867,   2892,   3507,   5992,   7977,   8309,   8972, 
/* msg =   1926, deg =  7 */     60,   2963,   4060,   5790,   7018,   8218,   8459, 
/* msg =   1927, deg =  7 */    828,   2471,   4267,   6045,   7360,   8235,   8856, 
/* msg =   1928, deg =  7 */    209,   2478,   3921,   5569,   7311,   7611,   8351, 
/* msg =   1929, deg =  7 */   1276,   1892,   4376,   5115,   6900,   8185,   8877, 
/* msg =   1930, deg =  7 */    293,   3012,   3818,   5378,   7070,   7145,   8360, 
/* msg =   1931, deg =  7 */    285,   3096,   4086,   6257,   6698,   7474,   9070, 
/* msg =   1932, deg =  7 */   1553,   3316,   4489,   5109,   7113,   7290,   9140, 
/* msg =   1933, deg =  7 */    317,   2647,   4730,   5236,   7333,   8182,   8416, 
/* msg =   1934, deg =  7 */   1461,   3305,   4207,   5498,   7020,   7989,   8318, 
/* msg =   1935, deg =  7 */    299,   2305,   4842,   5434,   7938,   8244,   9024, 
/* msg =   1936, deg =  7 */    235,   3146,   4847,   5061,   7246,   7833,   9118, 
/* msg =   1937, deg =  7 */   1558,   2973,   4627,   6178,   6795,   7578,   8662, 
/* msg =   1938, deg =  7 */    854,   2114,   4875,   5423,   7096,   7923,   8718, 
/* msg =   1939, deg =  7 */   1561,   2408,   3687,   6286,   6975,   7641,   8402, 
/* msg =   1940, deg =  7 */    865,   3077,   4622,   6365,   6921,   7457,   8530, 
/* msg =   1941, deg =  7 */    727,   3017,   4724,   5416,   7393,   7690,   8463, 
/* msg =   1942, deg =  7 */    488,   1724,   4165,   5240,   7061,   8070,   9021, 
/* msg =   1943, deg =  7 */    662,   2731,   3999,   6152,   6908,   8102,   8550, 
/* msg =   1944, deg =  7 */    512,   1824,   4161,   5715,   6841,   7632,   9085, 
/* msg =   1945, deg =  7 */   1471,   2200,   3648,   5750,   7570,   8023,   8642, 
/* msg =   1946, deg =  7 */    860,   2746,   3600,   5278,   6962,   8105,   9033, 
/* msg =   1947, deg =  7 */     53,   2776,   4491,   5453,   7909,   8226,   8358, 
/* msg =   1948, deg =  7 */    189,   1736,   3910,   6584,   7074,   8226,   8686, 
/* msg =   1949, deg =  7 */    112,   3189,   3888,   6431,   7084,   7991,   8571, 
/* msg =   1950, deg =  7 */   1127,   2187,   3781,   5495,   7382,   7762,   9053, 
/* msg =   1951, deg =  7 */   1021,   2498,   4615,   5157,   6800,   7068,   8517, 
/* msg =   1952, deg =  7 */   1143,   3142,   4743,   5540,   6779,   7284,   8844, 
/* msg =   1953, deg =  7 */   1418,   1942,   4342,   6103,   6978,   7926,   9094, 
/* msg =   1954, deg =  7 */    598,   2088,   4700,   5666,   7174,   7213,   8494, 
/* msg =   1955, deg =  7 */    316,   2300,   4189,   5074,   7075,   7410,   8327, 
/* msg =   1956, deg =  7 */    922,   2073,   3737,   6250,   7100,   7420,   8552, 
/* msg =   1957, deg =  7 */    265,   3058,   3329,   6042,   7016,   8271,   8845, 
/* msg =   1958, deg =  7 */   1031,   2844,   3675,   5125,   7378,   7684,   8535, 
/* msg =   1959, deg =  7 */   1502,   2496,   3795,   6151,   7765,   7915,   8623, 
/* msg =   1960, deg =  7 */   1126,   1965,   3672,   5742,   6682,   7525,   8922, 
/* msg =   1961, deg =  7 */     12,   2017,   4910,   6083,   7696,   7906,   8823, 
/* msg =   1962, deg =  7 */   1134,   2418,   3922,   5491,   6976,   7777,   9091, 
/* msg =   1963, deg =  7 */   1171,   2388,   4268,   5364,   6710,   7028,   8636, 
/* msg =   1964, deg =  7 */    243,   2542,   4975,   5683,   7597,   7925,   9074, 
/* msg =   1965, deg =  7 */     26,   2875,   4122,   6462,   7420,   7872,   8740, 
/* msg =   1966, deg =  7 */    166,   1797,   3938,   5100,   7636,   7649,   9004, 
/* msg =   1967, deg =  7 */    475,   3313,   3365,   6447,   7222,   7569,   8420, 
/* msg =   1968, deg =  7 */    960,   3250,   4439,   6220,   6815,   7881,   8889, 
/* msg =   1969, deg =  7 */    139,   3059,   3497,   5310,   7182,   8074,   8814, 
/* msg =   1970, deg =  7 */   1481,   2327,   3547,   5488,   7162,   8223,   8765, 
/* msg =   1971, deg =  7 */   1233,   2704,   4402,   5233,   7097,   7717,   8532, 
/* msg =   1972, deg =  7 */    305,   2997,   4308,   5800,   7415,   7750,   8886, 
/* msg =   1973, deg =  7 */    892,   1967,   4211,   5148,   6982,   7990,   8959, 
/* msg =   1974, deg =  7 */    574,   2661,   4295,   5140,   6820,   7112,   8398, 
/* msg =   1975, deg =  7 */    301,   3194,   3959,   5917,   7829,   7851,   8338, 
/* msg =   1976, deg =  7 */    360,   3131,   4905,   6096,   7188,   7610,   8919, 
/* msg =   1977, deg =  7 */    724,   2219,   4916,   5957,   7816,   7839,   8805, 
/* msg =   1978, deg =  7 */    604,   3101,   3670,   5090,   7324,   8184,   9028, 
/* msg =   1979, deg =  7 */    764,   2541,   4773,   6120,   6952,   7955,   8640, 
/* msg =   1980, deg =  7 */   1399,   3260,   3742,   6274,   7205,   7228,   8376, 
/* msg =   1981, deg =  7 */   1186,   1747,   4703,   5068,   6837,   7332,   8557, 
/* msg =   1982, deg =  7 */    509,   1988,   4008,   5548,   7104,   7591,   8441, 
/* msg =   1983, deg =  7 */    428,   2899,   4407,   6519,   7179,   7428,   9112, 
/* msg =   1984, deg =  7 */    505,   3214,   3972,   6613,   6728,   6947,   8952, 
/* msg =   1985, deg =  7 */   1618,   3001,   4317,   6049,   6978,   7343,   8931, 
/* msg =   1986, deg =  7 */    324,   2180,   3448,   5484,   6969,   7870,   8803, 
/* msg =   1987, deg =  7 */    786,   2377,   3784,   5230,   7660,   7664,   8634, 
/* msg =   1988, deg =  7 */    829,   2157,   4129,   5943,   7782,   8179,   9060, 
/* msg =   1989, deg =  7 */   1170,   2394,   4601,   5925,   7263,   7833,   9138, 
/* msg =   1990, deg =  7 */    471,   3240,   4233,   6524,   7392,   8191,   8755, 
/* msg =   1991, deg =  7 */    776,   2643,   4657,   5031,   7694,   8034,   8592, 
/* msg =   1992, deg =  7 */    340,   3004,   4976,   6500,   6884,   7532,   8671, 
/* msg =   1993, deg =  7 */    468,   3092,   4262,   6576,   7401,   7479,   9105, 
/* msg =   1994, deg =  7 */   1612,   3010,   3797,   5701,   6816,   7295,   8373, 
/* msg =   1995, deg =  7 */    760,   2257,   3862,   5860,   7547,   8172,   8385, 
/* msg =   1996, deg =  7 */    936,   2998,   4923,   5403,   6654,   7361,   8560, 
/* msg =   1997, deg =  7 */    104,   2159,   4054,   6479,   7658,   8072,   8423, 
/* msg =   1998, deg =  7 */    522,   1799,   4061,   6405,   7619,   8093,   9127, 
/* msg =   1999, deg =  7 */   1322,   2951,   4605,   5009,   7544,   7598,   8632, 
/* msg =   2000, deg =  7 */    587,   2571,   3438,   5220,   7207,   8128,   8833, 
/* msg =   2001, deg =  7 */    115,   2034,   3846,   6265,   7465,   7695,   8976, 
/* msg =   2002, deg =  7 */    101,   1981,   4276,   5598,   7466,   7900,   8789, 
/* msg =   2003, deg =  7 */    405,   2259,   4515,   6076,   8092,   8112,   9114, 
/* msg =   2004, deg =  7 */    643,   3154,   3609,   5928,   7022,   7856,   8630, 
/* msg =   2005, deg =  7 */   1009,   2992,   4894,   5411,   7298,   8013,   9093, 
/* msg =   2006, deg =  7 */    698,   2271,   4215,   5267,   6979,   8254,   8965, 
/* msg =   2007, deg =  7 */    359,   2312,   4955,   5840,   7255,   7612,   8582, 
/* msg =   2008, deg =  7 */    503,   1687,   3843,   6635,   7514,   8129,   8404, 
/* msg =   2009, deg =  7 */      2,   2716,   3792,   5045,   6669,   7451,   9003, 
/* msg =   2010, deg =  7 */    388,   2220,   4714,   6448,   8045,   8244,   9111, 
/* msg =   2011, deg =  7 */   1243,   2208,   4328,   6156,   6876,   7349,   8378, 
/* msg =   2012, deg =  7 */   1102,   3268,   3562,   5524,   6780,   7377,   8842, 
/* msg =   2013, deg =  7 */    399,   2501,   4118,   5738,   7753,   8082,   9030, 
/* msg =   2014, deg =  7 */   1086,   2870,   4805,   5015,   8018,   8048,   8654, 
/* msg =   2015, deg =  7 */    735,   2603,   4530,   6566,   7185,   7531,   9042, 
/* msg =   2016, deg =  7 */   1462,   2779,   4679,   5392,   7714,   7839,   8757, 
/* msg =   2017, deg =  7 */   1334,   1904,   3836,   6532,   7382,   7767,   8593, 
/* msg =   2018, deg =  7 */   1373,   1956,   4401,   5294,   6719,   7586,   8966, 
/* msg =   2019, deg =  7 */    750,   2391,   4942,   6109,   7919,   8051,   9015, 
/* msg =   2020, deg =  7 */    141,   1790,   3963,   5322,   7197,   7236,   8370, 
/* msg =   2021, deg =  7 */   1017,   3197,   3592,   5729,   6765,   7089,   9087, 
/* msg =   2022, deg =  7 */   1568,   2415,   4871,   5588,   6808,   8137,   8871, 
/* msg =   2023, deg =  7 */   1487,   3239,   4568,   5596,   6928,   8004,   8729, 
/* msg =   2024, deg =  7 */    639,   2823,   4005,   6618,   6939,   7073,   8481, 
/* msg =   2025, deg =  7 */   1343,   3254,   3827,   5212,   7374,   7379,   8837, 
/* msg =   2026, deg =  7 */    416,   2069,   3865,   6321,   6783,   6992,   8894, 
/* msg =   2027, deg =  7 */   1543,   2369,   3886,   5913,   7430,   8272,   8730, 
/* msg =   2028, deg =  7 */   1638,   2917,   4782,   6446,   6901,   7975,   8558, 
/* msg =   2029, deg =  7 */    998,   3094,   4770,   5844,   7274,   7528,   8345, 
/* msg =   2030, deg =  7 */   1588,   2121,   4681,   5490,   7364,   7848,   8653, 
/* msg =   2031, deg =  7 */    589,   2805,   3804,   5346,   6929,   7430,   9075, 
/* msg =   2032, deg =  7 */    855,   2967,   3525,   6123,   6835,   7614,   8986, 
/* msg =   2033, deg =  7 */    208,   1678,   4137,   5898,   7289,   7543,   8344, 
/* msg =   2034, deg =  7 */    590,   2958,   4564,   5166,   7246,   7522,   8977, 
/* msg =   2035, deg =  7 */    670,   2814,   4722,   6090,   7868,   8110,   8590, 
/* msg =   2036, deg =  7 */     86,   2928,   4375,   5003,   7840,   8224,   8321, 
/* msg =   2037, deg =  7 */   1370,   2889,   3620,   6511,   7054,   7486,   8722, 
/* msg =   2038, deg =  7 */    111,   1759,   3617,   5284,   7675,   8150,   8549, 
/* msg =   2039, deg =  7 */    748,   2167,   3480,   5424,   7676,   7891,   8499, 
/* msg =   2040, deg =  7 */    991,   1834,   3777,   5621,   6776,   7445,   8512, 
/* msg =   2041, deg =  7 */   1364,   2364,   4280,   5638,   7794,   8174,   8382, 
/* msg =   2042, deg =  7 */    307,   2616,   3650,   6423,   7533,   7652,   8810, 
/* msg =   2043, deg =  7 */   1158,   2540,   4555,   5454,   6762,   7870,   8520, 
/* msg =   2044, deg =  7 */     47,   3162,   4499,   5665,   7746,   8210,   8514, 
/* msg =   2045, deg =  7 */      9,   1701,   3793,   5066,   7819,   7976,   8568, 
/* msg =   2046, deg =  7 */    481,   1926,   4579,   5597,   7159,   8263,   8546, 
/* msg =   2047, deg =  7 */    294,   2164,   3561,   6075,   7065,   8100,   8804, 
/* msg =   2048, deg =  7 */   1321,   1689,   3462,   6612,   6846,   7851,   8460, 
/* msg =   2049, deg =  7 */    640,   2828,   4816,   5073,   7167,   7345,   9117, 
/* msg =   2050, deg =  7 */   1206,   2615,   4377,   5615,   7711,   7943,   8832, 
/* msg =   2051, deg =  7 */    978,   1801,   4783,   5400,   7542,   8274,   8508, 
/* msg =   2052, deg =  7 */    396,   3291,   3613,   5393,   7258,   7821,   8674, 
/* msg =   2053, deg =  7 */    304,   1793,   4984,   5248,   7826,   8043,   9126, 
/* msg =   2054, deg =  7 */   1547,   2414,   4902,   5764,   7728,   8265,   8940, 
/* msg =   2055, deg =  7 */   1652,   2321,   4771,   5127,   7505,   8309,   8688, 
/* msg =   2056, deg =  7 */    290,   1865,   3596,   5691,   6669,   7442,   8659, 
/* msg =   2057, deg =  7 */    257,   2412,   4424,   4997,   8079,   8298,   8606, 
/* msg =   2058, deg =  7 */     81,   2901,   3710,   5399,   7046,   7798,   8631, 
/* msg =   2059, deg =  7 */    537,   3026,   4370,   5218,   6856,   7077,   8945, 
/* msg =   2060, deg =  7 */    469,   2630,   4640,   5481,   6718,   6867,   8666, 
/* msg =   2061, deg =  7 */   1410,   2365,   4115,   5983,   7555,   7667,   8581, 
/* msg =   2062, deg =  7 */    990,   1902,   4180,   5689,   7272,   8269,   8539, 
/* msg =   2063, deg =  7 */    967,   2653,   3589,   5610,   7018,   7525,   9095, 
/* msg =   2064, deg =  7 */   1107,   2765,   4646,   5118,   6889,   7325,   8364, 
/* msg =   2065, deg =  7 */    129,   2149,   4363,   6064,   6988,   7623,   8536, 
/* msg =   2066, deg =  7 */    939,   1806,   4330,   6383,   7023,   7451,   8542, 
/* msg =   2067, deg =  7 */    628,   2521,   3396,   5026,   7235,   7648,   8511, 
/* msg =   2068, deg =  7 */    502,   1858,   4561,   6472,   6869,   7225,   8456, 
/* msg =   2069, deg =  7 */   1285,   2285,   3536,   6463,   7019,   7033,   8435, 
/* msg =   2070, deg =  7 */   1393,   2953,   4329,   5780,   7292,   8192,   8827, 
/* msg =   2071, deg =  7 */    717,   2833,   4127,   5335,   7021,   8006,   8379, 
/* msg =   2072, deg =  7 */    494,   2612,   4327,   6308,   7146,   8190,   8715, 
/* msg =   2073, deg =  7 */   1379,   3174,   3451,   6188,   7389,   7884,   8709, 
/* msg =   2074, deg =  7 */    492,   3179,   3475,   6202,   7653,   8305,   8670, 
/* msg =   2075, deg =  7 */     36,   3067,   4146,   4996,   8078,   8160,   9008, 
/* msg =   2076, deg =  7 */   1304,   2313,   3556,   5338,   8160,   8212,   8483, 
/* msg =   2077, deg =  7 */    434,   2044,   3820,   6003,   6974,   7055,   8377, 
/* msg =   2078, deg =  7 */    826,   1795,   4299,   6598,   7350,   8204,   8330, 
/* msg =   2079, deg =  7 */   1407,   2695,   4547,   6394,   6875,   7950,   9032, 
/* msg =   2080, deg =  7 */    524,   2606,   4354,   6005,   7674,   8000,   8910, 
/* msg =   2081, deg =  7 */    818,   1905,   3920,   5560,   6963,   8182,   8967, 
/* msg =   2082, deg =  7 */   1391,   2941,   4475,   5237,   7621,   7766,   8415, 
/* msg =   2083, deg =  7 */   1614,   2790,   4209,   5996,   7260,   8164,   9071, 
/* msg =   2084, deg =  7 */     44,   1725,   4514,   5287,   6972,   7518,   8818, 
/* msg =   2085, deg =  7 */    276,   2706,   4001,   6550,   6697,   7131,   8547, 
/* msg =   2086, deg =  7 */    956,   2256,   3813,   5631,   6736,   7162,   8713, 
/* msg =   2087, deg =  7 */    150,   1775,   4852,   5976,   7199,   7566,   9036, 
/* msg =   2088, deg =  7 */   1420,   2565,   3352,   5869,   7805,   8290,   8747, 
/* msg =   2089, deg =  7 */    552,   2847,   4566,   6568,   7142,   7642,   8764, 
/* msg =   2090, deg =  7 */    943,   2680,   4560,   5567,   7593,   7861,   9002, 
/* msg =   2091, deg =  7 */   1249,   3236,   4212,   5116,   7615,   8073,   8756, 
/* msg =   2092, deg =  7 */    909,   2110,   3753,   6555,   7301,   7303,   8839, 
/* msg =   2093, deg =  7 */    885,   2780,   4333,   6130,   7184,   8213,   8400, 
/* msg =   2094, deg =  7 */    284,   2296,   3498,   6554,   6741,   8095,   8710, 
/* msg =   2095, deg =  7 */     59,   3278,   4798,   5317,   7860,   8220,   8599, 
/* msg =   2096, deg =  7 */     13,   2910,   4114,   5002,   7388,   8198,   8429, 
/* msg =   2097, deg =  7 */    842,   3303,   4301,   5179,   6731,   7520,   8954, 
/* msg =   2098, deg =  7 */    103,   1682,   3488,   5630,   6903,   8090,   8711, 
/* msg =   2099, deg =  7 */    545,   3061,   3828,   5204,   7809,   7993,   8849, 
/* msg =   2100, deg =  7 */    259,   2000,   4037,   6222,   6772,   7950,   8790, 
/* msg =   2101, deg =  7 */   1503,   2617,   3504,   6304,   8062,   8287,   9104, 
/* msg =   2102, deg =  7 */    888,   2880,   3593,   5006,   7834,   8307,   8828, 
/* msg =   2103, deg =  7 */   1315,   2481,   4087,   6260,   6766,   7820,   8883, 
/* msg =   2104, deg =  7 */    286,   2637,   3993,   5954,   7573,   7861,   8437, 
/* msg =   2105, deg =  7 */    214,   3206,   3971,   5460,   6997,   8265,   9106, 
/* msg =   2106, deg =  7 */    884,   2879,   3955,   6316,   6861,   8261,   8703, 
/* msg =   2107, deg =  7 */   1395,   2589,   3516,   5377,   6696,   8044,   9119, 
/* msg =   2108, deg =  7 */    671,   2850,   3821,   5150,   7069,   7539,   8672, 
/* msg =   2109, deg =  7 */    237,   3076,   4829,   6622,   6722,   7029,   8706, 
/* msg =   2110, deg =  7 */   1317,   3285,   4063,   6434,   7581,   8250,   8319, 
/* msg =   2111, deg =  7 */    467,   2065,   4423,   6329,   6680,   6966,   8946, 
/* msg =   2112, deg =  7 */    460,   1692,   3966,   6229,   7312,   8238,   8369, 
/* msg =   2113, deg =  7 */    282,   1802,   4599,   5401,   6970,   7864,   8442, 
/* msg =   2114, deg =  7 */   1072,   2663,   3452,   6081,   6975,   7178,   8926, 
/* msg =   2115, deg =  7 */    582,   1857,   4867,   5320,   6863,   7582,   8622, 
/* msg =   2116, deg =  7 */    347,   2831,   3991,   5986,   6917,   7985,   9090, 
/* msg =   2117, deg =  7 */   1028,   1839,   4039,   5574,   7010,   7014,   8680, 
/* msg =   2118, deg =  7 */    118,   2007,   4144,   5397,   7194,   7365,   8831, 
/* msg =   2119, deg =  7 */    706,   1875,   4381,   5545,   7684,   8099,   8901, 
/* msg =   2120, deg =  7 */    384,   2723,   3484,   6071,   7253,   7417,   8431, 
/* msg =   2121, deg =  7 */    251,   2860,   4229,   5133,   7319,   8030,   8863, 
/* msg =   2122, deg =  7 */   1224,   2322,   4116,   6001,   6748,   8078,   8806, 
/* msg =   2123, deg =  7 */    624,   2707,   3645,   6059,   7368,   7945,   8439, 
/* msg =   2124, deg =  7 */    213,   2240,   4419,   5645,   6905,   7167,   8923, 
/* msg =   2125, deg =  7 */   1465,   1716,   4733,   6380,   7471,   8034,   8531, 
/* msg =   2126, deg =  7 */   1314,   2435,   4480,   6077,   7264,   7556,   8678, 
/* msg =   2127, deg =  7 */    577,   2337,   3651,   5043,   6777,   7983,   8579, 
/* msg =   2128, deg =  7 */    864,   2512,   4141,   6372,   6998,   7606,   8548, 
/* msg =   2129, deg =  7 */    965,   2720,   4043,   5625,   7329,   8033,   8964, 
/* msg =   2130, deg =  7 */    631,   1842,   3458,   5726,   7238,   8068,   9013, 
/* msg =   2131, deg =  7 */    220,   3140,   3471,   5059,   7771,   7865,   8446, 
/* msg =   2132, deg =  7 */    430,   2964,   4652,   6571,   6750,   7428,   8609, 
/* msg =   2133, deg =  7 */    107,   1819,   4003,   6070,   7045,   8011,   9007, 
/* msg =   2134, deg =  7 */     22,   2438,   4746,   5200,   7516,   8140,   8612, 
/* msg =   2135, deg =  7 */    516,   2282,   3469,   5159,   7056,   7305,   8913, 
/* msg =   2136, deg =  7 */     14,   2533,   4482,   6607,   7075,   7996,   9027, 
/* msg =   2137, deg =  7 */    696,   2569,   4192,   5816,   6883,   8030,   9128, 
/* msg =   2138, deg =  7 */    895,   2400,   3990,   6559,   7459,   7931,   9045, 
/* msg =   2139, deg =  7 */   1504,   3149,   4031,   5669,   7634,   7743,   9059, 
/* msg =   2140, deg =  7 */   1484,   2230,   4519,   6269,   7845,   8255,   8906, 
/* msg =   2141, deg =  7 */   1283,   3265,   4024,   5877,   7123,   7947,   8317, 
/* msg =   2142, deg =  7 */    437,   2263,   4531,   5168,   7900,   8151,   8962, 
/* msg =   2143, deg =  7 */    814,   2468,   4951,   5235,   6668,   7922,   8628, 
/* msg =   2144, deg =  7 */    983,   2131,   3931,   6115,   6737,   7639,   8707, 
/* msg =   2145, deg =  7 */     46,   2089,   3348,   5440,   7025,   7699,   8848, 
/* msg =   2146, deg =  7 */    718,   2690,   3552,   5939,   7133,   7358,   8314, 
/* msg =   2147, deg =  7 */    330,   1979,   3443,   6213,   7885,   8018,   9047, 
/* msg =   2148, deg =  7 */    201,   2145,   3764,   5010,   7686,   8260,   8426, 
/* msg =   2149, deg =  7 */    742,   1729,   3909,   5700,   6748,   8230,   8927, 
/* msg =   2150, deg =  7 */    238,   3038,   3834,   5402,   6901,   7004,   8732, 
/* msg =   2151, deg =  7 */    432,   3300,   4521,   5395,   7208,   7594,   8970, 
/* msg =   2152, deg =  7 */    916,   3283,   3576,   5817,   7005,   7878,   8778, 
/* msg =   2153, deg =  7 */    123,   3112,   4946,   6114,   7707,   8264,   9103, 
/* msg =   2154, deg =  7 */    474,   1829,   4794,   6457,   7400,   7707,   8667, 
/* msg =   2155, deg =  7 */    540,   2146,   3604,   6396,   7175,   7487,   8584, 
/* msg =   2156, deg =  7 */    906,   2440,   4095,   5889,   6932,   7878,   8997, 
/* msg =   2157, deg =  7 */    361,   2485,   4313,   5602,   7924,   8252,   9040, 
/* msg =   2158, deg =  7 */   1594,   3272,   4933,   6144,   6973,   7375,   9017, 
/* msg =   2159, deg =  7 */   1447,   3086,   4335,   6205,   7232,   7948,   8328, 
/* msg =   2160, deg =  7 */    792,   2715,   4676,   5734,   7528,   7673,   9122, 
/* msg =   2161, deg =  7 */    690,   1809,   3837,   5405,   8058,   8225,   8727, 
/* msg =   2162, deg =  7 */   1422,   2568,   4919,   5503,   7433,   7514,   8541, 
/* msg =   2163, deg =  7 */    332,   2744,   4239,   6124,   6801,   7148,   9129, 
/* msg =   2164, deg =  7 */   1647,   3180,   4862,   5606,   7078,   8283,   8898, 
/* msg =   2165, deg =  7 */   1312,   2319,   4457,   5016,   7802,   7887,   8341, 
/* msg =   2166, deg =  7 */    894,   2446,   4013,   5831,   6896,   7613,   9135, 
/* msg =   2167, deg =  7 */   1012,   2320,   4645,   5112,   6886,   7827,   8395, 
/* msg =   2168, deg =  7 */   1560,   2865,   4089,   5078,   6735,   7713,   8690, 
/* msg =   2169, deg =  7 */    411,   2027,   4437,   6537,   7575,   7700,   8312, 
/* msg =   2170, deg =  7 */    905,   2261,   3998,   5612,   7515,   7747,   8589, 
/* msg =   2171, deg =  7 */    377,   1933,   4774,   6135,   7397,   7975,   8676, 
/* msg =   2172, deg =  7 */   1527,   1676,   3631,   6536,   7057,   7406,   8570, 
/* msg =   2173, deg =  7 */   1294,   2613,   3529,   5361,   7015,   7432,   8752, 
/* msg =   2174, deg =  7 */    899,   1961,   4775,   5254,   6664,   7527,   8419, 
/* msg =   2175, deg =  7 */    710,   3212,   4901,   5110,   6762,   7454,   8968, 
/* msg =   2176, deg =  7 */   1353,   1923,   4754,   5550,   7019,   8037,   9121, 
/* msg =   2177, deg =  7 */    625,   2626,   3615,   6504,   6820,   8127,   8897, 
/* msg =   2178, deg =  7 */   1559,   1896,   3482,   6246,   7314,   7892,   8561, 
/* msg =   2179, deg =  7 */    783,   2323,   4117,   6113,   7227,   8158,   8430, 
/* msg =   2180, deg =  7 */   1378,   2762,   4887,   5990,   7312,   8285,   9076, 
/* msg =   2181, deg =  7 */    667,   2270,   3628,   6349,   6935,   7799,   8683, 
/* msg =   2182, deg =  7 */   1328,   1817,   4591,   6614,   6809,   8007,   8655, 
/* msg =   2183, deg =  7 */   1339,   2003,   4187,   5323,   7319,   7841,   8468, 
/* msg =   2184, deg =  7 */   1641,   2399,   4403,   6232,   6737,   7529,   8824, 
/* msg =   2185, deg =  7 */   1544,   2551,   3766,   5053,   7933,   8154,   8921, 
/* msg =   2186, deg =  7 */    133,   2486,   3383,   5214,   8198,   8243,   8371, 
/* msg =   2187, deg =  7 */   1642,   2116,   3637,   5718,   7026,   7569,   8961, 
/* msg =   2188, deg =  7 */   1118,   1705,   3411,   5672,   7399,   8044,   8594, 
/* msg =   2189, deg =  7 */   1428,   2537,   4397,   5452,   6924,   7808,   8519, 
/* msg =   2190, deg =  7 */   1619,   2694,   4533,   6163,   6909,   6954,   8753, 
/* msg =   2191, deg =  7 */   1227,   2817,   4181,   5356,   6807,   6885,   8537, 
/* msg =   2192, deg =  7 */    850,   2465,   4278,   5163,   6865,   6976,   8846, 
/* msg =   2193, deg =  7 */    393,   3163,   4288,   6391,   7287,   8132,   9134, 
/* msg =   2194, deg =  7 */   1219,   3150,   3569,   6326,   7968,   8200,   8405, 
/* msg =   2195, deg =  7 */    341,   2816,   3688,   6605,   7244,   7722,   8915, 
/* msg =   2196, deg =  7 */   1398,   3270,   4939,   6549,   7571,   8137,   8432, 
/* msg =   2197, deg =  7 */   1539,   2487,   4587,   6623,   6784,   6853,   8525, 
/* msg =   2198, deg =  7 */    959,   1818,   3876,   5456,   7127,   8210,   8882, 
/* msg =   2199, deg =  7 */    245,   2654,   3823,   6256,   7832,   7874,   8509, 
/* msg =   2200, deg =  7 */     90,   3079,   4787,   6268,   6655,   7453,   8510, 
/* msg =   2201, deg =  7 */    584,   2401,   4495,   6342,   6726,   7434,   8960, 
/* msg =   2202, deg =  7 */    465,   1848,   4825,   6069,   7344,   7637,   8391, 
/* msg =   2203, deg =  7 */   1112,   1912,   4082,   5478,   6944,   8239,   9019, 
/* msg =   2204, deg =  7 */    306,   1708,   4178,   5422,   7452,   8089,   8911, 
/* msg =   2205, deg =  7 */    392,   2278,   3924,   6143,   7261,   7288,   8413, 
/* msg =   2206, deg =  7 */    342,   1685,   4751,   5507,   7615,   8062,   8975, 
/* msg =   2207, deg =  7 */   1389,   1943,   4253,   6636,   6713,   7917,   8604, 
/* msg =   2208, deg =  7 */    270,   2242,   3539,   5331,   7489,   7503,   8957, 
/* msg =   2209, deg =  7 */    900,   3233,   4084,   5342,   7681,   7918,   8873, 
/* msg =   2210, deg =  7 */     65,   3024,   3531,   6029,   7895,   8284,   8443, 
/* msg =   2211, deg =  7 */    585,   2028,   3757,   5443,   7440,   7679,   9049, 
/* msg =   2212, deg =  7 */   1427,   2077,   3538,   6510,   6888,   7483,   8339, 
/* msg =   2213, deg =  7 */   1055,   2787,   3945,   5255,   6894,   8087,   9039, 
/* msg =   2214, deg =  7 */   1120,   2193,   3623,   5134,   6824,   7936,   9086, 
/* msg =   2215, deg =  7 */    327,   2914,   4449,   6142,   7156,   7403,   9005, 
/* msg =   2216, deg =  7 */   1650,   2009,   4508,   5922,   8161,   8307,   9102, 
/* msg =   2217, deg =  7 */      7,   2648,   3533,   6357,   6822,   6963,   8947, 
/* msg =   2218, deg =  7 */    726,   1827,   4908,   6315,   7231,   8020,   8397, 
/* msg =   2219, deg =  7 */   1104,   3028,   4598,   5723,   7327,   7661,   8698, 
/* msg =   2220, deg =  7 */   1381,   2642,   3465,   6412,   6979,   7956,   8406, 
/* msg =   2221, deg =  7 */    889,   2325,   4130,   6388,   7138,   8221,   8974, 
/* msg =   2222, deg =  7 */    353,   3148,   3798,   6484,   7340,   7613,   8983, 
/* msg =   2223, deg =  7 */   1409,   3288,   3427,   5227,   7120,   7496,   8868, 
/* msg =   2224, deg =  7 */   1208,   1994,   3856,   5746,   7052,   7205,   8496, 
/* msg =   2225, deg =  7 */   1637,   2516,   4020,   6363,   7251,   8102,   8543, 
/* msg =   2226, deg =  7 */   1089,   3182,   3339,   5940,   7477,   8204,   8392, 
/* msg =   2227, deg =  7 */    179,   2093,   4648,   5981,   6906,   7378,   8644, 
/* msg =   2228, deg =  7 */    675,   2605,   4272,   6474,   6740,   7786,   8359, 
/* msg =   2229, deg =  7 */   1483,   3267,   3832,   5386,   6968,   7921,   8697, 
/* msg =   2230, deg =  7 */    510,   3036,   4216,   6055,   7369,   8238,   8912, 
/* msg =   2231, deg =  7 */     78,   2109,   3508,   5687,   7230,   7264,   9025, 
/* msg =   2232, deg =  7 */   1144,   3035,   4324,   5547,   7200,   7215,   8762, 
/* msg =   2233, deg =  7 */    930,   2866,   3732,   5213,   7582,   7828,   8746, 
/* msg =   2234, deg =  7 */   1347,   3116,   3545,   6360,   6872,   7004,   8808, 
/* msg =   2235, deg =  7 */   1609,   2852,   4336,   5713,   6821,   6983,   8502, 
/* msg =   2236, deg =  7 */   1189,   2286,   4748,   5554,   6773,   7034,   8575, 
/* msg =   2237, deg =  7 */    745,   2855,   3684,   6141,   7010,   7574,   8342, 
/* msg =   2238, deg =  7 */    811,   1733,   4943,   5951,   7093,   7265,   8462, 
/* msg =   2239, deg =  7 */    517,   3307,   3873,   5515,   7863,   8197,   8498, 
/* msg =   2240, deg =  7 */   1242,   1706,   3988,   5260,   7185,   7472,   8357, 
/* msg =   2241, deg =  7 */   1313,   2303,   4863,   6034,   7296,   7347,   8387, 
/* msg =   2242, deg =  7 */   1169,   3000,   4768,   6512,   7324,   7352,   8775, 
/* msg =   2243, deg =  7 */    272,   1749,   4345,   5177,   8071,   8203,   8761, 
/* msg =   2244, deg =  7 */    458,   2919,   3656,   5477,   8156,   8302,   9031, 
/* msg =   2245, deg =  7 */    134,   3030,   4338,   6513,   7012,   8282,   8311, 
/* msg =   2246, deg =  7 */   1184,   3160,   3625,   5046,   7849,   7857,   8797, 
/* msg =   2247, deg =  7 */    687,   2736,   4710,   5160,   7211,   7790,   8409, 
/* msg =   2248, deg =  7 */   1133,   2191,   3622,   5290,   7672,   7815,   8819, 
/* msg =   2249, deg =  7 */   1587,   3022,   3616,   5903,   7488,   7859,   9107, 
/* msg =   2250, deg =  7 */   1061,   2294,   4492,   6237,   7101,   7888,   9069, 
/* msg =   2251, deg =  7 */   1376,   1734,   4300,   6373,   6914,   7130,   8366, 
/* msg =   2252, deg =  7 */    762,   2502,   4408,   5336,   7262,   8263,   9006, 
/* msg =   2253, deg =  7 */    231,   2371,   4231,   5741,   6877,   7410,   8880, 
/* msg =   2254, deg =  7 */    711,   3130,   3935,   5643,   6677,   7117,   9037, 
/* msg =   2255, deg =  7 */    781,   2903,   4545,   5886,   6760,   8281,   8766, 
/* msg =   2256, deg =  7 */   1621,   2698,   4241,   6385,   6809,   6989,   8884, 
/* msg =   2257, deg =  7 */   1495,   3258,   4380,   6486,   6763,   7971,   8452, 
/* msg =   2258, deg =  7 */   1263,   1768,   3463,   6456,   6651,   6772,   8999, 
/* msg =   2259, deg =  7 */    708,   3111,   4948,   6105,   7139,   8086,   8829, 
/* msg =   2260, deg =  7 */    837,   2649,   4651,   6506,   7422,   7571,   8335, 
/* msg =   2261, deg =  7 */    638,   1921,   4218,   6404,   6777,   6786,   8950, 
/* msg =   2262, deg =  7 */   1237,   2417,   4255,   6429,   7439,   8131,   8433, 
/* msg =   2263, deg =  7 */    191,   2432,   4297,   5508,   7273,   7933,   8576, 
/* msg =   2264, deg =  7 */     17,   2235,   4264,   6079,   7450,   7732,   8668, 
/* msg =   2265, deg =  7 */    938,   3147,   4696,   5228,   7333,   7647,   8695, 
/* msg =   2266, deg =  7 */    511,   3296,   4119,   5114,   6844,   7655,   8701, 
/* msg =   2267, deg =  7 */    891,   2608,   3947,   5311,   7266,   7771,   8669, 
/* msg =   2268, deg =  7 */    273,   1897,   4873,   6473,   7693,   8195,   8347, 
/* msg =   2269, deg =  7 */   1349,   3302,   4083,   6641,   7405,   7554,   8719, 
/* msg =   2270, deg =  7 */    898,   3222,   4022,   5419,   7116,   7351,   9132, 
/* msg =   2271, deg =  7 */   1474,   2358,   4593,   5969,   6964,   7752,   8608, 
/* msg =   2272, deg =  7 */    163,   2251,   4870,   5950,   8012,   8098,   8679, 
/* msg =   2273, deg =  7 */   1590,   3279,   3553,   5449,   7443,   7687,   8436, 
/* msg =   2274, deg =  7 */   1592,   2641,   3514,   6525,   6932,   7739,   9041, 
/* msg =   2275, deg =  7 */    367,   1702,   4010,   5839,   7125,   7635,   8425, 
/* msg =   2276, deg =  7 */   1492,   2678,   4232,   5165,   7169,   7838,   8781, 
/* msg =   2277, deg =  7 */      1,   1958,   3705,   6417,   6817,   7097,   8934, 
/* msg =   2278, deg =  7 */    713,   1696,   3355,   5931,   6952,   7220,   8588, 
/* msg =   2279, deg =  7 */   1066,   2143,   3328,   6351,   7337,   7981,   8329, 
/* msg =   2280, deg =  7 */   1130,   2534,   4204,   6601,   6752,   7706,   8611, 
/* msg =   2281, deg =  7 */   1229,   1732,   4940,   6146,   7429,   7452,   9077, 
/* msg =   2282, deg =  7 */    650,   1731,   4944,   6177,   7003,   7225,   9026, 
/* msg =   2283, deg =  7 */    173,   1668,   3770,   5852,   6664,   7060,   8485, 
/* msg =   2284, deg =  7 */    319,   2052,   4399,   6526,   7095,   7597,   8418, 
/* msg =   2285, deg =  7 */    744,   2352,   4396,   5196,   7141,   7170,   8310, 
/* msg =   2286, deg =  7 */   1542,   2937,   4478,   5774,   7034,   8136,   8760, 
/* msg =   2287, deg =  7 */    851,   2622,   4820,   5272,   7177,   7787,   8474, 
/* msg =   2288, deg =  7 */    183,   1781,   4398,   6166,   6681,   6714,   8665, 
/* msg =   2289, deg =  7 */    666,   2586,   4778,   6264,   6865,   8104,   9018, 
/* msg =   2290, deg =  7 */    333,   2808,   3494,   6052,   8205,   8232,   8641, 
/* msg =   2291, deg =  7 */     27,   3161,   4273,   6014,   6833,   7060,   8660, 
/* msg =   2292, deg =  7 */   1482,   2938,   4815,   5107,   7375,   8183,   8888, 
/* msg =   2293, deg =  7 */    222,   2375,   4341,   5291,   7305,   7527,   8472, 
/* msg =   2294, deg =  7 */    606,   2822,   3542,   5527,   7335,   7632,   8316, 
/* msg =   2295, deg =  7 */   1442,   1950,   4432,   5962,   7638,   7886,   8990, 
/* msg =   2296, deg =  7 */    793,   1783,   3660,   5862,   7229,   7512,   8454, 
/* msg =   2297, deg =  7 */   1239,   2283,   4036,   5435,   7157,   7448,   8768, 
/* msg =   2298, deg =  7 */    795,   3184,   4080,   5882,   7293,   7567,   8399, 
/* msg =   2299, deg =  7 */   1411,   3280,   3690,   5646,   6740,   7560,   8777, 
/* msg =   2300, deg =  7 */    601,   2572,   4057,   6041,   7298,   8215,   8577, 
/* msg =   2301, deg =  7 */    736,   3034,   4716,   6154,   6940,   8094,   8495, 
/* msg =   2302, deg =  7 */    607,   2080,   4386,   5442,   6745,   8013,   8807, 
/* msg =   2303, deg =  7 */   1497,   2781,   4758,   5522,   6874,   8308,   9089, 
/* msg =   2304, deg =  7 */   1079,   2047,   3554,   5801,   7294,   7331,   8586, 
/* msg =   2305, deg =  7 */    357,   2766,   4886,   6108,   6788,   7108,   8540, 
/* msg =   2306, deg =  7 */    425,   3151,   4185,   6190,   6945,   7462,   8585, 
/* msg =   2307, deg =  7 */   1531,   3199,   3492,   6192,   6759,   8148,   8811, 
/* msg =   2308, deg =  7 */    100,   2155,   3951,   5541,   6707,   6960,   8333, 
/* msg =   2309, deg =  7 */    572,   2864,   4979,   5084,   7006,   7271,   8716, 
/* msg =   2310, deg =  7 */    946,   2722,   4436,   6087,   7383,   7918,   9139, 
/* msg =   2311, deg =  7 */   1145,   1778,   3916,   6497,   7385,   8206,   8942, 
/* msg =   2312, deg =  7 */    921,   2950,   3754,   5652,   7273,   8229,   9062, 
/* msg =   2313, deg =  7 */     75,   3087,   4225,   5081,   7689,   7770,   9014, 
/* msg =   2314, deg =  7 */   1493,   1693,   4745,   5571,   7964,   8103,   8553, 
/* msg =   2315, deg =  7 */   1251,   3203,   4156,   5797,   6831,   6940,   8736, 
/* msg =   2316, deg =  7 */    709,   1963,   4945,   6589,   6904,   7219,   8438, 
/* msg =   2317, deg =  7 */   1552,   2843,   4938,   5846,   6793,   7711,   8488, 
/* msg =   2318, deg =  7 */     11,   3191,   3478,   5679,   6742,   7866,   8617, 
/* msg =   2319, deg =  7 */    801,   1851,   4126,   5699,   7073,   7467,   8411, 
/* msg =   2320, deg =  7 */   1408,   3310,   4879,   5041,   7490,   8294,   9115, 
/* msg =   2321, deg =  7 */     37,   1984,   4889,   6021,   7669,   7781,   8482, 
/* msg =   2322, deg =  7 */     77,   2178,   4223,   5072,   6967,   7739,   8649, 
/* msg =   2323, deg =  7 */    890,   2983,   4316,   5304,   7043,   7202,   8675, 
/* msg =   2324, deg =  7 */   1196,   2237,   3489,   6180,   7579,   8179,   8702, 
/* msg =   2325, deg =  7 */    787,   2633,   3937,   6541,   7421,   7577,   8992, 
/* msg =   2326, deg =  7 */   1466,   3008,   4970,   5909,   7865,   8053,   8523, 
/* msg =   2327, deg =  7 */   1188,   2558,   4860,   6542,   7109,   7325,   9048, 
/* msg =   2328, deg =  7 */    642,   2269,   4355,   5632,   6870,   7980,   8449, 
/* msg =   2329, deg =  7 */    206,   2006,   4275,   5060,   7510,   7798,   9009, 
/* msg =   2330, deg =  7 */   1019,   2212,   4347,   5192,   6723,   8177,   8633, 
/* msg =   2331, deg =  7 */    521,   1764,   3490,   5203,   6658,   7449,   8524, 
/* msg =   2332, deg =  7 */    908,   2310,   4344,   5888,   6650,   7706,   8458, 
/* msg =   2333, deg =  7 */    848,   2185,   4915,   5900,   7817,   8304,   8407, 
/* msg =   2334, deg =  7 */    597,   2361,   4642,   5428,   7140,   8031,   8647, 
/* msg =   2335, deg =  7 */     38,   2926,   4227,   5223,   6685,   7627,   8348, 
/* msg =   2336, deg =  7 */     33,   2918,   4296,   5280,   6821,   7850,   9012, 
/* msg =   2337, deg =  7 */    669,   2025,   3859,   6428,   7228,   7830,   9020, 
/* msg =   2338, deg =  7 */   1566,   2428,   4097,   6403,   7027,   7320,   8870, 
/* msg =   2339, deg =  7 */    283,   2010,   4909,   6332,   7431,   8185,   8744, 
/* msg =   2340, deg =  7 */   1198,   2791,   4242,   6204,   7901,   7957,   8724, 
/* msg =   2341, deg =  7 */    963,   2885,   3359,   5137,   7030,   7310,   8773, 
/* msg =   2342, deg =  7 */     58,   2582,   3701,   5842,   7087,   7174,   8869, 
/* msg =   2343, deg =  7 */   1220,   2947,   4541,   6384,   6987,   7458,   8791, 
/* msg =   2344, deg =  7 */   1236,   1673,   4781,   6327,   6879,   7793,   8450, 
/* msg =   2345, deg =  7 */    543,   1813,   4101,   5692,   7204,   7819,   8521, 
/* msg =   2346, deg =  7 */   1269,   2247,   4841,   5927,   7622,   8006,   8872, 
/* msg =   2347, deg =  7 */    439,   2804,   4947,   5119,   7300,   7499,   8963, 
/* msg =   2348, deg =  7 */    617,   1993,   3614,   5334,   7005,   7371,   8563, 
/* msg =   2349, deg =  7 */    653,   2863,   3908,   5024,   7438,   8070,   8932, 
/* msg =   2350, deg =  7 */    535,   2916,   4205,   5659,   7481,   7593,   8610, 
/* msg =   2351, deg =  7 */   1004,   2139,   4872,   5367,   7176,   7581,   8504, 
/* msg =   2352, deg =  7 */     69,   1785,   4145,   5605,   6981,   7047,   8793, 
/* msg =   2353, deg =  7 */    632,   1881,   3930,   6334,   6951,   7854,   8367, 
/* msg =   2354, deg =  7 */     96,   1911,   4228,   6039,   7292,   7892,   9066, 
/* msg =   2355, deg =  7 */   1293,   2968,   3759,   5347,   7016,   7035,   8388, 
/* msg =   2356, deg =  7 */   1040,   2260,   3771,   5945,   7342,   8161,   8500, 
/* msg =   2357, deg =  7 */    658,   2683,   3817,   5500,   6732,   7769,   8902, 
/* msg =   2358, deg =  7 */    599,   2570,   4602,   6276,   6756,   7871,   8978, 
/* msg =   2359, deg =  7 */    250,   2978,   3698,   6485,   7661,   7758,   9124, 
/* msg =   2360, deg =  7 */   1500,   3098,   4753,   6225,   6971,   8283,   9116, 
/* msg =   2361, deg =  7 */    376,   2356,   4470,   6595,   7036,   7201,   8638, 
/* msg =   2362, deg =  7 */   1639,   2848,   3579,   6450,   6933,   7669,   8334, 
/* msg =   2363, deg =  7 */   1505,   3102,   3802,   6330,   7481,   7672,   9092, 
/* msg =   2364, deg =  7 */   1258,   2511,   3580,   5709,   6727,   6922,   9113, 
/* msg =   2365, deg =  7 */    449,   2474,   4808,   6028,   7003,   7949,   8564, 
/* msg =   2366, deg =  7 */    435,   3229,   4934,   6583,   6937,   7395,   8769, 
/* msg =   2367, deg =  7 */    722,   2841,   4539,   5128,   7824,   8096,   8451, 
/* msg =   2368, deg =  7 */    999,   1788,   4727,   5468,   7564,   7943,   8489, 
/* msg =   2369, deg =  7 */    812,   2618,   4078,   6465,   6947,   8139,   8798, 
/* msg =   2370, deg =  7 */   1573,   3262,   4844,   5661,   7376,   8002,   9082, 
/* msg =   2371, deg =  7 */   1190,   1836,   4488,   6199,   6660,   7407,   8513, 
/* msg =   2372, deg =  7 */   1121,   2136,   4626,   5036,   7495,   7534,   8948, 
/* msg =   2373, deg =  7 */   1228,   1748,   3974,   5784,   7461,   7976,   8867, 
/* msg =   2374, deg =  7 */    863,   2957,   4038,   5648,   7284,   8047,   8580, 
/* msg =   2375, deg =  7 */    897,   1677,   4168,   6578,   6657,   7982,   8352, 
/* msg =   2376, deg =  7 */   1221,   2326,   4458,   6099,   6818,   6916,   8705, 
/* msg =   2377, deg =  7 */    674,   2508,   3546,   5751,   7029,   7916,   8464, 
/* msg =   2378, deg =  7 */   1636,   1811,   3718,   6516,   7816,   8189,   8320, 
/* msg =   2379, deg =  7 */    693,   1877,   3642,   6098,   7259,   7629,   8602, 
/* msg =   2380, deg =  7 */    659,   2348,   4279,   5421,   7115,   7565,   8466, 
/* msg =   2381, deg =  7 */   1303,   1906,   3413,   5065,   6830,   8266,   8465, 
/* msg =   2382, deg =  7 */   1402,   2522,   4182,   5620,   6915,   6959,   8944, 
/* msg =   2383, deg =  7 */    663,   3164,   3741,   4991,   7046,   7404,   8389, 
/* msg =   2384, deg =  7 */    596,   3075,   3976,   6235,   7789,   8033,   8860, 
/* msg =   2385, deg =  7 */    901,   2730,   3361,   5578,   7447,   7948,   8933, 
/* msg =   2386, deg =  7 */    609,   1922,   4453,   5694,   6958,   7066,   8427, 
/* msg =   2387, deg =  7 */   1165,   1874,   3512,   5474,   7548,   7676,   8929, 
/* msg =   2388, deg =  7 */   1425,   1718,   3570,   6438,   7629,   7742,   8900, 
/* msg =   2389, deg =  7 */   1199,   3178,   4600,   5677,   6665,   6805,   8949, 
/* msg =   2390, deg =  7 */    893,   3290,   4828,   6173,   7181,   7647,   8372, 
/* msg =   2391, deg =  7 */   1448,   3056,   4693,   5038,   7126,   8111,   8595, 
/* msg =   2392, deg =  7 */    729,   2737,   4023,   6145,   7199,   7443,   8444, 
/* msg =   2393, deg =  7 */    228,   2923,   3943,   5859,   6857,   7067,   8475, 
/* msg =   2394, deg =  7 */     91,   1833,   4481,   6272,   7867,   7960,   8533, 
/* msg =   2395, deg =  7 */   1176,   2774,   4138,   5146,   6670,   8235,   8567, 
/* msg =   2396, deg =  7 */   1309,   2011,   3780,   6369,   6812,   7361,   8995, 
/* msg =   2397, deg =  7 */   1257,   2460,   4713,   6193,   6826,   7437,   8661, 
/* msg =   2398, deg =  7 */    412,   2697,   4739,   6488,   7028,   7192,   8696, 
/* msg =   2399, deg =  7 */    534,   2792,   3608,   5856,   7468,   7936,   8434, 
/* msg =   2400, deg =  7 */   1272,   2233,   4032,   6030,   6667,   7099,   9123, 
/* msg =   2401, deg =  7 */   1232,   2232,   4383,   5438,   7446,   7656,   8473, 
/* msg =   2402, deg =  7 */   1491,   2621,   3501,   5854,   7315,   8158,   8733, 
/* msg =   2403, deg =  7 */   1571,   2072,   3521,   5050,   7760,   7782,   8684, 
/* msg =   2404, deg =  7 */    311,   2338,   3326,   5275,   6720,   7101,   8772, 
/* msg =   2405, deg =  7 */   1397,   2416,   4980,   5035,   6709,   7437,   8847, 
/* msg =   2406, deg =  7 */   1289,   2195,   3936,   6015,   7098,   7958,   8895, 
/* msg =   2407, deg =  7 */   1308,   3259,   4641,   6451,   6915,   7946,   8639, 
/* msg =   2408, deg =  7 */   1075,   1715,   4604,   6176,   7132,   7966,   9061, 
/* msg =   2409, deg =  7 */    595,   2891,   4088,   5907,   6883,   7304,   8714, 
/* msg =   2410, deg =  7 */   1499,   2974,   4362,   5181,   6886,   7289,   8626, 
/* msg =   2411, deg =  7 */    177,   2884,   4795,   5592,   6882,   8071,   8620, 
/* msg =   2412, deg =  7 */   1658,   1745,   4741,   5594,   7844,   7992,   8403, 
/* msg =   2413, deg =  7 */    477,   2857,   3598,   6086,   6891,   7768,   8607, 
/* msg =   2414, deg =  7 */    612,   2920,   4123,   5728,   6887,   7161,   8331, 
/* msg =   2415, deg =  7 */    731,   2593,   4619,   5314,   6939,   7488,   8795, 
/* msg =   2416, deg =  7 */   1538,   1773,   4017,   5087,   6733,   8138,   8685, 
/* msg =   2417, deg =  7 */   1316,   1983,   4983,   6569,   6941,   7348,   8981, 
/* msg =   2418, deg =  7 */    576,   1767,   4668,   6551,   7552,   8194,   8770, 
/* msg =   2419, deg =  7 */    734,   2651,   3696,   5032,   7775,   7968,   8721, 
/* msg =   2420, deg =  7 */   1181,   2091,   3747,   6160,   6873,   8047,   8491, 
/* msg =   2421, deg =  7 */   1506,   3287,   3416,   6489,   7037,   7854,   8556, 
/* msg =   2422, deg =  7 */    575,   3217,   3528,   5590,   6667,   7654,   8980, 
/* msg =   2423, deg =  7 */   1406,   2934,   3633,   5793,   6779,   7146,   8930, 
/* msg =   2424, deg =  7 */    182,   3234,   4337,   5431,   6956,   6960,   8971, 
/* msg =   2425, deg =  7 */    677,   2461,   4325,   5829,   6691,   6872,   8738, 
/* msg =   2426, deg =  7 */    766,   2360,   3874,   6261,   6818,   8155,   9096, 
/* msg =   2427, deg =  7 */   1645,   2529,   3932,   5289,   8036,   8216,   8365, 
/* msg =   2428, deg =  7 */   1065,   3097,   3673,   5770,   6927,   7979,   8424, 
/* msg =   2429, deg =  7 */   1305,   2137,   4606,   5624,   6743,   6824,   8490, 
/* msg =   2430, deg =  7 */    455,   1972,   4971,   5657,   8119,   8169,   9001, 
/* msg =   2431, deg =  7 */    673,   3198,   3476,   6066,   7255,   7987,   8985, 
/* msg =   2432, deg =  7 */   1346,   3120,   4801,   5004,   7680,   8081,   8866, 
/* msg =   2433, deg =  7 */    202,   2272,   4320,   6575,   7716,   7822,   8574, 
/* msg =   2434, deg =  7 */    689,   1684,   4471,   6493,   6944,   6984,   8526, 
/* msg =   2435, deg =  7 */    919,   1707,   3948,   6639,   7646,   8239,   8689, 
/* msg =   2436, deg =  7 */    310,   2751,   3968,   6347,   6691,   7402,   9063, 
/* msg =   2437, deg =  7 */   1182,   1740,   3607,   5980,   7017,   7485,   8850, 
/* msg =   2438, deg =  7 */   1159,   2050,   3371,   5998,   7677,   8259,   8422, 
/* msg =   2439, deg =  7 */   1362,   2346,   3461,   6333,   6879,   7226,   8361, 
/* msg =   2440, deg =  7 */    300,   2867,   3495,   5099,   6846,   8121,   8969, 
/* msg =   2441, deg =  7 */   1187,   2395,   3665,   5058,   7197,   7802,   8603, 
/* msg =   2442, deg =  7 */    230,   2882,   4050,   5279,   7424,   8020,   8998, 
/* msg =   2443, deg =  7 */     25,   2295,   3899,   5266,   7856,   8127,   8737, 
/* msg =   2444, deg =  7 */    371,   2982,   3483,   5721,   6699,   8134,   8501, 
/* msg =   2445, deg =  7 */    941,   2718,   4890,   5786,   6948,   7106,   8826, 
/* msg =   2446, deg =  7 */     32,   2705,   4861,   5549,   7058,   7696,   8841, 
/* msg =   2447, deg =  7 */    298,   1757,   4286,   5384,   7092,   8295,   8792, 
/* msg =   2448, deg =  7 */    934,   2700,   3679,   5822,   6955,   8218,   8907, 
/* msg =   2449, deg =  7 */   1404,   2273,   3880,   5696,   6710,   6793,   8936, 
/* msg =   2450, deg =  7 */     55,   1937,   4247,   6538,   6819,   7766,   8445, 
/* msg =   2451, deg =  7 */   1601,   2939,   3867,   5387,   7360,   7408,   9000, 
/* msg =   2452, deg =  7 */    980,   3141,   4415,   5033,   7385,   7572,   8601, 
/* msg =   2453, deg =  7 */   1136,   2397,   4610,   5773,   6854,   7074,   9098, 
/* msg =   2454, deg =  7 */    985,   2984,   4704,   6088,   6973,   7558,   8478, 
/* msg =   2455, deg =  7 */   1549,   2754,   3960,   5716,   6836,   6850,   8534, 
/* msg =   2456, deg =  7 */   1413,   2374,   3919,   5861,   7519,   7914,   8477, 
/* msg =   2457, deg =  7 */   1507,   2406,   4260,   6217,   6708,   8140,   9097, 
/* msg =   2458, deg =  7 */    486,   2314,   3602,   6147,   6656,   7504,   8386, 
/* msg =   2459, deg =  7 */    142,   2726,   4007,   5259,   7041,   7905,   8854, 
/* msg =   2460, deg =  7 */    135,   1910,   3644,   5879,   6704,   8093,   8857, 
/* msg =   2461, deg =  7 */   1365,   2597,   3750,   5189,   8085,   8111,   8779, 
/* msg =   2462, deg =  7 */    856,   2567,   4543,   6638,   6700,   7963,   8619, 
/* msg =   2463, deg =  7 */   1593,   2372,   3419,   5698,   7984,   8121,   8720, 
/* msg =   2464, deg =  7 */   1424,   2902,   3658,   6100,   7498,   7699,   8796, 
/* msg =   2465, deg =  7 */    883,   2741,   4009,   5191,   7000,   7341,   9079, 
/* msg =   2466, deg =  7 */   1508,   2340,   3523,   6620,   7536,   7559,   8621, 
/* msg =   2467, deg =  7 */    336,   3275,   3739,   5142,   7494,   7502,   8349, 
/* msg =   2468, deg =  7 */    215,   1772,   4701,   5437,   7880,   8126,   8648, 
/* msg =   2469, deg =  7 */   1463,   2194,   4382,   6359,   6688,   8260,   8479, 
/* msg =   2470, deg =  7 */    903,   2976,   4321,   5176,   6655,   7974,   8763, 
/* msg =   2471, deg =  7 */   1185,   2890,   3500,   5573,   6966,   8292,   8958, 
/* msg =   2472, deg =  7 */    686,   3209,   4287,   6242,   6657,   7036,   8817, 
/* msg =   2473, deg =  7 */   1241,   2897,   3857,   6400,   7052,   8188,   8982, 
/* msg =   2474, deg =  7 */    473,   2975,   3778,   5908,   7793,   7951,   8704, 
/* msg =   2475, deg =  7 */    927,   2729,   3844,   6102,   6977,   8150,   8728, 
/* msg =   2476, deg =  7 */    591,   2944,   3800,   6228,   7090,   7484,   8754, 
/* msg =   2477, deg =  7 */   1324,   2079,   3875,   6441,   7210,   7873,   8750, 
/* msg =   2478, deg =  7 */   1623,   2524,   4618,   5722,   7390,   7969,   8918, 
/* msg =   2479, deg =  7 */   1124,   1939,   3434,   6139,   7576,   7834,   9073, 
/* msg =   2480, deg =  7 */    227,   2607,   4414,   5482,   6796,   6916,   9088, 
/* msg =   2481, deg =  7 */   1093,   2544,   4544,   5538,   7227,   7517,   8935, 
/* msg =   2482, deg =  7 */    720,   1946,   4249,   5511,   8052,   8162,   8447, 
/* msg =   2483, deg =  7 */    803,   2217,   4170,   6022,   7033,   7069,   8384, 
/* msg =   2484, deg =  7 */    398,   3005,   3893,   5144,   7550,   8152,   8991, 
/* msg =   2485, deg =  7 */    849,   2656,   4282,   6328,   8027,   8202,   8771, 
/* msg =   2486, deg =  7 */    404,   2970,   4405,   6033,   7100,   7238,   8820, 
/* msg =   2487, deg =  7 */   1387,   1841,   3954,   6634,   6862,   7533,   8815, 
/* msg =   2488, deg =  7 */   1003,   2067,   4311,   6150,   7482,   8010,   9046, 
/* msg =   2489, deg =  7 */    944,   2900,   4041,   5339,   7394,   8088,   8528, 
/* msg =   2490, deg =  7 */    618,   1869,   3407,   6580,   7224,   7355,   8989, 
/* msg =   2491, deg =  7 */   1001,   2614,   4431,   5153,   7214,   7972,   8578, 
/* msg =   2492, deg =  7 */   1439,   3245,   4065,   5915,   6982,   8303,   8325, 
/* msg =   2493, deg =  7 */    588,   2441,   3392,   5634,   7484,   7871,   9285, 
/* msg =   2494, deg =  7 */   1161,   2523,   4677,   5362,   7039,   7370,   9752, 
/* msg =   2495, deg =  7 */   1603,   2477,   3351,   5455,   6804,   8231,   9461, 
/* msg =   2496, deg =  7 */   1168,   2768,   3506,   5776,   7336,   7386,   9748, 
/* msg =   2497, deg =  7 */    971,   1846,   4744,   5007,   7106,   8016,   9864, 
/* msg =   2498, deg =  7 */   1405,   2094,   3584,   6395,   6918,   7908,   9456, 
/* msg =   2499, deg =  7 */    151,   1997,   4576,   6402,   7784,   7809,   9510, 
/* msg =   2500, deg =  7 */    676,   2363,   4047,   5357,   6866,   7158,   9736, 
/* msg =   2501, deg =  7 */    649,   1704,   4035,   5376,   7153,   7331,   9172, 
/* msg =   2502, deg =  7 */   1087,   2945,   4982,   5095,   6770,   8019,   9932, 
/* msg =   2503, deg =  7 */   1092,   2806,   3716,   5360,   7946,   8262,   9536, 
/* msg =   2504, deg =  7 */    350,   1720,   4246,   5021,   7381,   7812,   9376, 
/* msg =   2505, deg =  7 */   1344,   2906,   3327,   5956,   7612,   8259,   9546, 
/* msg =   2506, deg =  7 */   1526,   2672,   4814,   6006,   7598,   7719,   9621, 
/* msg =   2507, deg =  7 */   1473,   1929,   4359,   5881,   6980,   7522,   9529, 
/* msg =   2508, deg =  7 */    994,   2402,   3558,   5251,   6775,   7190,   9628, 
/* msg =   2509, deg =  7 */    219,   1883,   4410,   6499,   7671,   7681,   9443, 
/* msg =   2510, deg =  7 */    302,   2946,   4686,   5651,   7835,   7995,   9199, 
/* msg =   2511, deg =  7 */    876,   3033,   3574,   6236,   6927,   7780,   9482, 
/* msg =   2512, deg =  7 */    846,   2931,   3731,   5849,   7491,   8091,   9283, 
/* msg =   2513, deg =  7 */   1514,   2210,   3370,   6339,   6780,   8122,   9231, 
/* msg =   2514, deg =  7 */    806,   1949,   3444,   6072,   7176,   8123,   9533, 
/* msg =   2515, deg =  7 */    654,   2082,   4310,   4987,   7482,   7850,   9919, 
/* msg =   2516, deg =  7 */    957,   2753,   4283,   4988,   7356,   8086,   9173, 
/* msg =   2517, deg =  7 */   1533,   2609,   3790,   6565,   6881,   7254,   9547, 
/* msg =   2518, deg =  7 */   1445,   3074,   4709,   6317,   7448,   7953,   9381, 
/* msg =   2519, deg =  7 */   1432,   2601,   4512,   5282,   6796,   7815,   9530, 
/* msg =   2520, deg =  7 */   1310,   2887,   4832,   5640,   7280,   7565,   9496, 
/* msg =   2521, deg =  7 */     87,   1835,   3340,   6046,   7374,   8117,   9372, 
/* msg =   2522, deg =  7 */   1213,   2405,   3722,   6060,   7256,   8028,   9144, 
/* msg =   2523, deg =  7 */    682,   1787,   4467,   6168,   7032,   7129,   9819, 
/* msg =   2524, deg =  7 */   1545,   2140,   4878,   5113,   7591,   8275,   9598, 
/* msg =   2525, deg =  7 */   1419,   2403,   3391,   5343,   7187,   7237,   9662, 
/* msg =   2526, deg =  7 */    970,   3315,   3404,   5080,   8251,   8303,   9933, 
/* msg =   2527, deg =  7 */    277,   1996,   4120,   6266,   7881,   7883,   9207, 
/* msg =   2528, deg =  7 */   1240,   1861,   3453,   6414,   8080,   8177,   9670, 
/* msg =   2529, deg =  7 */    136,   2245,   4740,   5876,   6943,   7113,   9705, 
/* msg =   2530, deg =  7 */   1342,   2370,   4732,   5054,   6914,   7693,   9560, 
/* msg =   2531, deg =  7 */   1434,   2838,   4214,   5297,   7116,   7557,   9477, 
/* msg =   2532, deg =  7 */   1519,   1889,   3975,   6254,   7012,   7567,   9240, 
/* msg =   2533, deg =  7 */    518,   3304,   4112,   5525,   7345,   7893,   9707, 
/* msg =   2534, deg =  7 */   1022,   1951,   4584,   5040,   7511,   8306,   9424, 
/* msg =   2535, deg =  7 */    456,   1863,   4799,   6561,   7761,   8073,   9345, 
/* msg =   2536, deg =  7 */    772,   2076,   3331,   5582,   6866,   7132,   9556, 
/* msg =   2537, deg =  7 */   1275,   3237,   3640,   6112,   7275,   7616,   9945, 
/* msg =   2538, deg =  7 */   1193,   2710,   4612,   5135,   7844,   7910,   9192, 
/* msg =   2539, deg =  7 */   1080,   3155,   4850,   6545,   8041,   8061,   9467, 
/* msg =   2540, deg =  7 */    621,   2966,   4434,   5614,   7654,   8221,   9260, 
/* msg =   2541, deg =  7 */     50,   1828,   3590,   5057,   6679,   8276,   9553, 
/* msg =   2542, deg =  7 */    211,   2467,   4219,   5818,   7316,   7810,   9555, 
/* msg =   2543, deg =  7 */   1355,   2437,   4472,   5688,   7580,   7668,   9488, 
/* msg =   2544, deg =  7 */    487,   2316,   3510,   5463,   7817,   8298,   9336, 
/* msg =   2545, deg =  7 */   1586,   2087,   4633,   5017,   6954,   7880,   9633, 
/* msg =   2546, deg =  7 */    660,   2584,   3599,   6292,   6794,   7792,   9769, 
/* msg =   2547, deg =  7 */    519,   3063,   4318,   4999,   6666,   7725,   9965, 
/* msg =   2548, deg =  7 */   1226,   3100,   4776,   5143,   7049,   8109,   9178, 
/* msg =   2549, deg =  7 */   1467,   2689,   4941,   6165,   7447,   7637,   9440, 
/* msg =   2550, deg =  7 */    390,   2425,   3901,   6191,   7070,   7203,   9404, 
/* msg =   2551, deg =  7 */   1142,   2886,   3332,   6025,   7272,   7531,   9367, 
/* msg =   2552, deg =  7 */    835,   1821,   4654,   5293,   6751,   7804,   9225, 
/* msg =   2553, deg =  7 */   1070,   1838,   4245,   6615,   6946,   7659,   9821, 
/* msg =   2554, deg =  7 */    149,   2148,   4845,   6004,   6724,   7974,   9159, 
/* msg =   2555, deg =  7 */   1479,   2299,   3337,   5302,   7155,   7469,   9306, 
/* msg =   2556, deg =  7 */    830,   1852,   4856,   5820,   7095,   7967,   9557, 
/* msg =   2557, deg =  7 */    704,   2108,   4522,   5985,   7606,   8237,   9392, 
/* msg =   2558, deg =  7 */   1094,   2990,   3824,   5028,   7646,   8165,   9607, 
/* msg =   2559, deg =  7 */    373,   2650,   4912,   5373,   7286,   7608,   9697, 
/* msg =   2560, deg =  7 */   1064,   1695,   3699,   5121,   7278,   7610,   9622, 
/* msg =   2561, deg =  7 */    737,   1837,   3758,   6208,   7555,   8216,   9884, 
/* msg =   2562, deg =  7 */   1498,   2671,   4621,   5684,   7173,   7822,   9385, 
/* msg =   2563, deg =  7 */   1351,   1762,   3369,   5372,   7424,   7785,   9216, 
/* msg =   2564, deg =  7 */   1654,   2600,   4201,   6495,   7902,   7907,   9309, 
/* msg =   2565, deg =  7 */    541,   3225,   4780,   5174,   7258,   8170,   9347, 
/* msg =   2566, deg =  7 */   1291,   2229,   4430,   6610,   7649,   8149,   9854, 
/* msg =   2567, deg =  7 */     15,   2846,   4712,   5982,   6858,   7712,   9957, 
/* msg =   2568, deg =  7 */    379,   2738,   4917,   5970,   7141,   7317,   9527, 
/* msg =   2569, deg =  7 */    839,   2133,   3408,   6012,   7456,   8187,   9448, 
/* msg =   2570, deg =  7 */   1248,   1784,   4809,   5097,   7364,   7685,   9944, 
/* msg =   2571, deg =  7 */   1345,   3309,   4812,   6515,   6774,   7756,   9916, 
/* msg =   2572, deg =  7 */   1311,   1710,   3942,   5271,   6825,   7241,   9766, 
/* msg =   2573, deg =  7 */    668,   2980,   3826,   5517,   8009,   8107,   9188, 
/* msg =   2574, deg =  7 */    346,   2652,   3682,   6282,   7346,   7634,   9730, 
/* msg =   2575, deg =  7 */   1562,   2056,   4302,   5301,   6860,   8286,   9618, 
/* msg =   2576, deg =  7 */   1615,   1872,   4884,   6136,   7134,   7358,   9185, 
/* msg =   2577, deg =  7 */    626,   2739,   4734,   5565,   7151,   7470,   9449, 
/* msg =   2578, deg =  7 */   1059,   3207,   4220,   5470,   7307,   7797,   9841, 
/* msg =   2579, deg =  7 */    289,   2054,   3639,   5123,   6923,   8183,   9505, 
/* msg =   2580, deg =  7 */   1388,   2479,   3491,   5671,   7039,   8117,   9213, 
/* msg =   2581, deg =  7 */    651,   2711,   4474,   5380,   6689,   6717,   9645, 
/* msg =   2582, deg =  7 */    472,   2396,   4702,   5264,   6731,   7203,   9257, 
/* msg =   2583, deg =  7 */    193,   3073,   4413,   6248,   8098,   8138,   9418, 
/* msg =   2584, deg =  7 */    281,   2655,   4550,   6631,   6722,   7930,   9235, 
/* msg =   2585, deg =  7 */    592,   2135,   4443,   5042,   7624,   8178,   9210, 
/* msg =   2586, deg =  7 */    408,   2556,   3805,   6397,   6717,   6906,   9204, 
/* msg =   2587, deg =  7 */    171,   2147,   3868,   5390,   7291,   8124,   9959, 
/* msg =   2588, deg =  7 */    354,   2058,   4761,   5576,   6870,   7914,   9177, 
/* msg =   2589, deg =  7 */    623,   1909,   3782,   6355,   7431,   7852,   9678, 
/* msg =   2590, deg =  7 */    470,   2703,   4040,   6080,   6758,   8280,   9211, 
/* msg =   2591, deg =  7 */   1006,   1738,   4237,   5635,   7125,   7455,   9956, 
/* msg =   2592, deg =  7 */   1266,   3246,   4285,   6322,   6747,   8074,   9221, 
/* msg =   2593, deg =  7 */   1108,   2646,   4447,   5919,   6791,   7721,   9694, 
/* msg =   2594, deg =  7 */   1644,   2373,   3591,   5874,   6990,   8242,   9152, 
/* msg =   2595, deg =  7 */    882,   3271,   4977,   5202,   6849,   8217,   9215, 
/* msg =   2596, deg =  7 */   1591,   2022,   4663,   5873,   7600,   7807,   9274, 
/* msg =   2597, deg =  7 */    759,   3128,   3349,   5902,   7640,   7965,   9786, 
/* msg =   2598, deg =  7 */    491,   2676,   3767,   5096,   6849,   7295,   9915, 
/* msg =   2599, deg =  7 */    348,   2679,   4294,   6579,   7887,   7997,   9327, 
/* msg =   2600, deg =  7 */    824,   2197,   3691,   5388,   6837,   8008,   9623, 
/* msg =   2601, deg =  7 */    561,   3050,   3350,   6362,   7025,   7886,   9880, 
/* msg =   2602, deg =  7 */     88,   2475,   4535,   5295,   6767,   7077,   9829, 
/* msg =   2603, deg =  7 */    907,   2961,   4106,   6527,   6959,   8203,   9558, 
/* msg =   2604, deg =  7 */   1029,   2505,   4824,   5827,   6920,   7717,   9469, 
/* msg =   2605, deg =  7 */    389,   1876,   4784,   6624,   6934,   8040,   9196, 
/* msg =   2606, deg =  7 */   1627,   2942,   4729,   5608,   7903,   7939,   9562, 
/* msg =   2607, deg =  7 */    234,   1713,   4513,   6647,   7408,   7770,   9754, 
/* msg =   2608, deg =  7 */   1525,   2560,   3900,   5519,   7328,   8005,   9171, 
/* msg =   2609, deg =  7 */    167,   2175,   4613,   6018,   7384,   7858,   9674, 
/* msg =   2610, deg =  7 */    515,   3322,   4892,   6563,   7579,   8228,   9850, 
/* msg =   2611, deg =  7 */   1546,   2813,   3532,   5013,   7245,   7427,   9330, 
/* msg =   2612, deg =  7 */    313,   2989,   3669,   6196,   7067,   7837,   9276, 
/* msg =   2613, deg =  7 */    400,   2368,   4558,   6354,   7692,   7954,   9787, 
/* msg =   2614, deg =  7 */    586,   3110,   4107,   5803,   6843,   7206,   9289, 
/* msg =   2615, deg =  7 */     68,   3007,   4033,   6573,   7088,   7233,   9501, 
/* msg =   2616, deg =  7 */    931,   2311,   3659,   5639,   7065,   7279,   9585, 
/* msg =   2617, deg =  7 */   1480,   1746,   3440,   6419,   6884,   7252,   9789, 
/* msg =   2618, deg =  7 */   1183,   2965,   4045,   6279,   7686,   8094,   9895, 
/* msg =   2619, deg =  7 */    525,   2876,   3550,   6310,   7546,   8129,   9820, 
/* msg =   2620, deg =  7 */    566,   1844,   4634,   5916,   7282,   7999,   9296, 
/* msg =   2621, deg =  7 */    258,   3183,   3724,   6436,   7981,   8156,   9545, 
/* msg =   2622, deg =  7 */    192,   2376,   3891,   5520,   7796,   8246,   9384, 
/* msg =   2623, deg =  7 */   1039,   3200,   3394,   6159,   6801,   7326,   9847, 
/* msg =   2624, deg =  7 */   1529,   2008,   4254,   5809,   7079,   7419,   9387, 
/* msg =   2625, deg =  7 */   1631,   1765,   3470,   5897,   6881,   7800,   9554, 
/* msg =   2626, deg =  7 */   1222,   2315,   4911,   5409,   7386,   7715,   9499, 
/* msg =   2627, deg =  7 */   1532,   2758,   4099,   6207,   7314,   7562,   9256, 
/* msg =   2628, deg =  7 */    904,   2430,   3816,   5603,   6876,   8300,   9565, 
/* msg =   2629, deg =  7 */   1567,   2041,   4510,   5451,   7232,   7792,   9755, 
/* msg =   2630, deg =  7 */    102,   3052,   4111,   5070,   6967,   7271,   9401, 
/* msg =   2631, deg =  7 */    203,   2179,   4552,   5997,   7051,   7858,   9280, 
/* msg =   2632, deg =  7 */    765,   3289,   4379,   5664,   7249,   7589,   9531, 
/* msg =   2633, deg =  7 */    754,   1919,   3467,   5676,   7566,   7602,   9663, 
/* msg =   2634, deg =  7 */    560,   2228,   3466,   5154,   8114,   8262,   9479, 
/* msg =   2635, deg =  7 */    252,   3274,   4387,   5585,   7276,   7302,   9718, 
/* msg =   2636, deg =  7 */   1578,   2339,   4391,   5946,   7373,   8249,   9767, 
/* msg =   2637, deg =  7 */    997,   2423,   4000,   6140,   6819,   7742,   9298, 
/* msg =   2638, deg =  7 */   1630,   1953,   3992,   5528,   7103,   7127,   9314, 
/* msg =   2639, deg =  7 */    386,   2281,   4690,   5246,   6785,   7207,   9832, 
/* msg =   2640, deg =  7 */   1333,   3031,   4707,   6366,   7463,   8288,   9237, 
/* msg =   2641, deg =  7 */   1137,   2907,   4936,   6392,   6749,   8248,   9676, 
/* msg =   2642, deg =  7 */   1338,   3286,   4490,   6642,   6708,   7688,   9537, 
/* msg =   2643, deg =  7 */    730,   3069,   4688,   6390,   6864,   7006,   9625, 
/* msg =   2644, deg =  7 */    323,   2227,   3894,   5564,   6991,   7209,   9800, 
/* msg =   2645, deg =  7 */    130,   2631,   4463,   5704,   6817,   7064,   9344, 
/* msg =   2646, deg =  7 */    974,   2812,   4567,   5332,   6771,   8037,   9542, 
/* msg =   2647, deg =  7 */    131,   2063,   3983,   5300,   6890,   8146,   9371, 
/* msg =   2648, deg =  7 */    315,   1669,   4736,   5595,   7149,   7586,   9224, 
/* msg =   2649, deg =  7 */   1575,   2455,   3549,   5201,   7216,   8282,   9241, 
/* msg =   2650, deg =  7 */   1247,   3032,   3595,   5979,   7209,   7628,   9675, 
/* msg =   2651, deg =  7 */    121,   1737,   3555,   5427,   7265,   7962,   9230, 
/* msg =   2652, deg =  7 */   1090,   2255,   3520,   5365,   7144,   8206,   9480, 
/* msg =   2653, deg =  7 */   1550,   2675,   4298,   5296,   6912,   7120,   9795, 
/* msg =   2654, deg =  7 */    874,   2015,   4019,   5108,   7107,   7713,   9717, 
/* msg =   2655, deg =  7 */    761,   2062,   4698,   5791,   6898,   7773,   9827, 
/* msg =   2656, deg =  7 */   1109,   1894,   4653,   6468,   6867,   7439,   9577, 
/* msg =   2657, deg =  7 */    476,   2985,   4661,   6505,   7666,   7824,   9282, 
/* msg =   2658, deg =  7 */   1585,   2289,   4589,   5581,   6861,   7468,   9463, 
/* msg =   2659, deg =  7 */    536,   2634,   3499,   5029,   7031,   7426,   9852, 
/* msg =   2660, deg =  7 */   1596,   3129,   4763,   6437,   7621,   8214,   9804, 
/* msg =   2661, deg =  7 */    743,   2215,   4699,   5912,   6841,   6892,   9388, 
/* msg =   2662, deg =  7 */   1179,   1753,   3551,   6319,   7108,   7605,   9523, 
/* msg =   2663, deg =  7 */   1403,   1826,   4671,   6558,   6993,   7251,   9593, 
/* msg =   2664, deg =  7 */   1437,   3011,   4503,   6483,   7306,   8273,   9374, 
/* msg =   2665, deg =  7 */   1016,   3159,   4196,   5526,   6764,   7846,   9950, 
/* msg =   2666, deg =  7 */    832,   3284,   3366,   5325,   7530,   7547,   9885, 
/* msg =   2667, deg =  7 */   1147,   2421,   4392,   5391,   7387,   8046,   9912, 
/* msg =   2668, deg =  7 */    520,   2449,   4639,   5145,   6942,   7150,   9574, 
/* msg =   2669, deg =  7 */    644,   2581,   3664,   6454,   7140,   8252,   9873, 
/* msg =   2670, deg =  7 */    507,   2037,   3970,   6552,   7275,   7396,   9262, 
/* msg =   2671, deg =  7 */   1106,   2832,   3587,   6370,   6832,   7689,   9579, 
/* msg =   2672, deg =  7 */    733,   3228,   3401,   6283,   7085,   8270,   9946, 
/* msg =   2673, deg =  7 */    372,   2888,   3738,   5231,   7784,   8130,   9696, 
/* msg =   2674, deg =  7 */   1472,   2713,   3393,   5653,   6689,   7755,   9784, 
/* msg =   2675, deg =  7 */   1135,   2279,   3364,   5733,   7507,   7902,   9197, 
/* msg =   2676, deg =  7 */     30,   2142,   4067,   5572,   6776,   8119,   9966, 
/* msg =   2677, deg =  7 */   1332,   1859,   3403,   5668,   8115,   8178,   9801, 
/* msg =   2678, deg =  7 */   1622,   2226,   3387,   5487,   6880,   7267,   9459, 
/* msg =   2679, deg =  7 */   1319,   2341,   3368,   6162,   7630,   8171,   9420, 
/* msg =   2680, deg =  7 */     99,   3057,   3381,   5225,   7751,   7993,   9350, 
/* msg =   2681, deg =  7 */    929,   2996,   3449,   5494,   6928,   7308,   9300, 
/* msg =   2682, deg =  7 */   1238,   1986,   4974,   5748,   7316,   8159,   9315, 
/* msg =   2683, deg =  7 */   1375,   2380,   4261,   6128,   7403,   8273,   9245, 
/* msg =   2684, deg =  7 */   1523,   2379,   3621,   5412,   6938,   7057,   9624, 
/* msg =   2685, deg =  7 */   1449,   2344,   4764,   5183,   6666,   6851,   9212, 
/* msg =   2686, deg =  7 */    451,   3193,   4822,   5510,   7313,   7924,   9874, 
/* msg =   2687, deg =  7 */   1358,   1750,   4014,   5067,   6704,   7161,   9613, 
/* msg =   2688, deg =  7 */    339,   2384,   3842,   5758,   7153,   8306,   9724, 
/* msg =   2689, deg =  7 */   1456,   2170,   4803,   5557,   7538,   7683,   9812, 
/* msg =   2690, deg =  7 */   1098,   2692,   4711,   5305,   7381,   8075,   9958, 
/* msg =   2691, deg =  7 */    950,   2895,   3755,   5475,   6649,   8141,   9896, 
/* msg =   2692, deg =  7 */    924,   2660,   4854,   5754,   6828,   6877,   9578, 
/* msg =   2693, deg =  7 */    775,   2359,   3685,   5796,   7894,   8258,   9507, 
/* msg =   2694, deg =  7 */    291,   2719,   3719,   6262,   7404,   8010,   9521, 
/* msg =   2695, deg =  7 */   1091,   3018,   4904,   6101,   6799,   8080,   9150, 
/* msg =   2696, deg =  7 */    798,   2243,   3429,   6461,   7476,   8142,   9711, 
/* msg =   2697, deg =  7 */    420,   3044,   3994,   6594,   7814,   8081,   9837, 
/* msg =   2698, deg =  7 */   1225,   2489,   4184,   5414,   7053,   8076,   9620, 
/* msg =   2699, deg =  7 */     10,   1868,   4720,   5151,   7552,   7762,   9366, 
/* msg =   2700, deg =  7 */    721,   3317,   3981,   6408,   6698,   6738,   9886, 
/* msg =   2701, deg =  7 */   1209,   1887,   4131,   5949,   6787,   6792,   9594, 
/* msg =   2702, deg =  7 */   1288,   3256,   3939,   5775,   6757,   7092,   9844, 
/* msg =   2703, deg =  7 */    827,   2181,   3969,   5705,   7836,   7931,   9809, 
/* msg =   2704, deg =  7 */    402,   2871,   4581,   6562,   7673,   7963,   9867, 
/* msg =   2705, deg =  7 */   1540,   3269,   4210,   5518,   7198,   7218,   9872, 
/* msg =   2706, deg =  7 */   1262,   2623,   4002,   6035,   6946,   8163,   9504, 
/* msg =   2707, deg =  7 */    573,   2684,   4697,   5667,   7501,   8214,   9778, 
/* msg =   2708, deg =  7 */    312,   2773,   4670,   5369,   6769,   7483,   9845, 
/* msg =   2709, deg =  7 */   1105,   2893,   4838,   6008,   6798,   7852,   9352, 
/* msg =   2710, deg =  7 */   1063,   1940,   3879,   5821,   7625,   7738,   9396, 
/* msg =   2711, deg =  7 */     28,   2366,   4906,   5757,   6887,   7873,   9317, 
/* msg =   2712, deg =  7 */    952,   2152,   4465,   5462,   7387,   7756,   9409, 
/* msg =   2713, deg =  7 */    160,   2807,   3338,   5905,   7969,   7988,   9583, 
/* msg =   2714, deg =  7 */    375,   2168,   3357,   5318,   6756,   7071,   9535, 
/* msg =   2715, deg =  7 */   1056,   3153,   3336,   5381,   6813,   8236,   9783, 
/* msg =   2716, deg =  7 */    975,   2561,   4575,   5575,   6728,   6998,   9846, 
/* msg =   2717, deg =  7 */    870,   2662,   3776,   5062,   7539,   7898,   9269, 
/* msg =   2718, deg =  7 */    436,   2392,   4705,   5834,   7334,   7971,   9310, 
/* msg =   2719, deg =  7 */   1110,   2306,   3342,   6409,   6900,   7126,   9397, 
/* msg =   2720, deg =  7 */   1394,   3126,   3442,   6195,   7156,   7741,   9891, 
/* msg =   2721, deg =  7 */   1060,   2095,   4190,   5207,   7099,   8116,   9323, 
/* msg =   2722, deg =  7 */     79,   1970,   4502,   6240,   7215,   7518,   9797, 
/* msg =   2723, deg =  7 */    127,   3114,   4637,   5706,   6829,   8232,   9835, 
/* msg =   2724, deg =  7 */    154,   2105,   4789,   5626,   8122,   8281,   9630, 
/* msg =   2725, deg =  7 */    945,   2434,   4257,   5580,   7723,   8268,   9492, 
/* msg =   2726, deg =  7 */    500,   2213,   4899,   5198,   6892,   7330,   9326, 
/* msg =   2727, deg =  7 */   1390,   3312,   3358,   6557,   8049,   8159,   9667, 
/* msg =   2728, deg =  7 */   1521,   2834,   3624,   5252,   7335,   7530,   9692, 
/* msg =   2729, deg =  7 */   1042,   2287,   4790,   6290,   6858,   7949,   9380, 
/* msg =   2730, deg =  7 */    303,   2244,   4059,   6455,   7247,   8275,   9398, 
/* msg =   2731, deg =  7 */   1085,   2349,   4927,   5901,   7434,   8277,   9971, 
/* msg =   2732, deg =  7 */   1014,   1730,   3803,   6611,   7118,   7412,   9445, 
/* msg =   2733, deg =  7 */    559,   2031,   4689,   5911,   6844,   7154,   9681, 
/* msg =   2734, deg =  7 */    337,   1803,   3829,   5681,   7011,   7983,   9687, 
/* msg =   2735, deg =  7 */    335,   2128,   3527,   6477,   6814,   6957,   9508, 
/* msg =   2736, deg =  7 */   1279,   2924,   4108,   6548,   6840,   7131,   9435, 
/* msg =   2737, deg =  7 */    645,   2856,   3881,   6284,   6891,   7339,   9319, 
/* msg =   2738, deg =  7 */   1008,   2410,   3597,   5215,   7441,   8079,   9246, 
/* msg =   2739, deg =  7 */    278,   2123,   4085,   6212,   7353,   8176,   9520, 
/* msg =   2740, deg =  7 */    549,   3273,   4479,   5863,   6803,   8175,   9568, 
/* msg =   2741, deg =  7 */    280,   1899,   3377,   6295,   6738,   7369,   9686, 
/* msg =   2742, deg =  7 */    683,   3107,   3479,   6186,   7536,   8012,   9968, 
/* msg =   2743, deg =  7 */   1156,   3294,   4314,   5485,   6875,   6907,   9226, 
/* msg =   2744, deg =  7 */   1337,   3152,   4557,   5561,   7287,   7538,   9348, 
/* msg =   2745, deg =  7 */    769,   1878,   4597,   5906,   7296,   8187,   9145, 
/* msg =   2746, deg =  7 */    406,   3122,   4826,   5439,   6810,   7318,   9502, 
/* msg =   2747, deg =  7 */   1132,   2224,   4075,   5685,   7171,   7398,   9393, 
/* msg =   2748, deg =  7 */   1058,   2506,   3819,   5880,   6678,   7746,   9165, 
/* msg =   2749, deg =  7 */    394,   1907,   3977,   5496,   7508,   7583,   9677, 
/* msg =   2750, deg =  7 */    872,   2033,   4757,   5732,   6859,   7390,   9147, 
/* msg =   2751, deg =  7 */    462,   2092,   4527,   6183,   6851,   7544,   9308, 
/* msg =   2752, deg =  7 */   1195,   2666,   3626,   6356,   6675,   8072,   9179, 
/* msg =   2753, deg =  7 */   1453,   1712,   4666,   5420,   6785,   7662,   9301, 
/* msg =   2754, deg =  7 */    969,   2290,   4592,   6375,   6981,   7211,   9540, 
/* msg =   2755, deg =  7 */   1194,   2670,   4629,   5389,   6834,   7603,   9794, 
/* msg =   2756, deg =  7 */   1476,   1888,   4303,   6411,   7660,   7827,   9655, 
/* msg =   2757, deg =  7 */    557,   2231,   4125,   5762,   7508,   7853,   9727, 
/* msg =   2758, deg =  7 */    691,   3314,   3986,   6439,   6672,   6755,   9493, 
/* msg =   2759, deg =  7 */   1520,   1934,   3446,   6530,   7721,   8286,   9522, 
/* msg =   2760, deg =  7 */     19,   3060,   3831,   5328,   7056,   7785,   9931, 
/* msg =   2761, deg =  7 */   1348,   2932,   3853,   6110,   7663,   7825,   9561, 
/* msg =   2762, deg =  7 */    345,   1901,   4537,   5069,   7109,   7367,   9739, 
/* msg =   2763, deg =  7 */    484,   3139,   4235,   5995,   7703,   8153,   9768, 
/* msg =   2764, deg =  7 */   1359,   2456,   3661,   5425,   6855,   7845,   9851, 
/* msg =   2765, deg =  7 */    297,   3002,   4055,   5601,   6678,   7152,   9949, 
/* msg =   2766, deg =  7 */    822,   1711,   4109,   5132,   6750,   7904,   9389, 
/* msg =   2767, deg =  7 */    143,   3230,   3838,   5695,   7283,   7901,   9831, 
/* msg =   2768, deg =  7 */   1113,   2559,   4358,   6458,   6671,   7027,   9452, 
/* msg =   2769, deg =  7 */    325,   2786,   3439,   5792,   7752,   8141,   9312, 
/* msg =   2770, deg =  7 */    526,   1898,   3934,   5243,   6889,   7302,   9187, 
/* msg =   2771, deg =  7 */   1584,   2367,   3973,   5268,   6770,   7896,   9688, 
/* msg =   2772, deg =  7 */   1368,   2796,   4756,   5613,   7055,   8192,   9796, 
/* msg =   2773, deg =  7 */    925,   2752,   4766,   6094,   7050,   7751,   9189, 
/* msg =   2774, deg =  7 */   1254,   2495,   3727,   5710,   7540,   7958,   9156, 
/* msg =   2775, deg =  7 */    279,   1945,   3743,   5735,   6965,   7068,   9908, 
/* msg =   2776, deg =  7 */    756,   2760,   3964,   5348,   7366,   7952,   9299, 
/* msg =   2777, deg =  7 */    292,   2686,   4573,   5932,   7047,   7193,   9849, 
/* msg =   2778, deg =  7 */   1372,   1698,   4528,   5875,   6767,   7925,   9364, 
/* msg =   2779, deg =  7 */   1286,   3145,   3704,   6470,   6695,   6878,   9765, 
/* msg =   2780, deg =  7 */    678,   2552,   4719,   6258,   6999,   7740,   9910, 
/* msg =   2781, deg =  7 */   1218,   2782,   3397,   6350,   7640,   8237,   9148, 
/* msg =   2782, deg =  7 */    362,   3064,   3965,   5418,   6768,   7476,   9631, 
/* msg =   2783, deg =  7 */    144,   2002,   4966,   5781,   6860,   7475,   9343, 
/* msg =   2784, deg =  7 */   1357,   1812,   4372,   5783,   7198,   7212,   9465, 
/* msg =   2785, deg =  7 */   1246,   2933,   3815,   6389,   7283,   7806,   9723, 
/* msg =   2786, deg =  7 */    479,   2986,   3940,   6104,   6763,   7112,   9335, 
/* msg =   2787, deg =  7 */    352,   2553,   3343,   5966,   7807,   8032,   9325, 
/* msg =   2788, deg =  7 */    226,   3308,   4400,   5600,   7107,   7821,   9564, 
/* msg =   2789, deg =  7 */    433,   2436,   4883,   6050,   6991,   7607,   9290, 
/* msg =   2790, deg =  7 */    926,   1674,   3649,   6632,   6815,   8199,   9541, 
/* msg =   2791, deg =  7 */    665,   2389,   4468,   6027,   7675,   8201,   9695, 
/* msg =   2792, deg =  7 */   1580,   2912,   3517,   6492,   7150,   7438,   9281, 
/* msg =   2793, deg =  7 */   1062,   2845,   3711,   5531,   6676,   7507,   9713, 
/* msg =   2794, deg =  7 */     41,   1680,   4866,   6533,   7088,   8223,   9514, 
/* msg =   2795, deg =  7 */   1625,   3298,   4166,   5810,   7585,   8219,   9413, 
/* msg =   2796, deg =  7 */   1464,   2702,   3907,   6603,   6937,   7365,   9881, 
/* msg =   2797, deg =  7 */   1501,   3003,   3677,   5092,   6693,   7427,   9146, 
/* msg =   2798, deg =  7 */   1435,   2390,   4553,   5351,   6675,   7249,   9762, 
/* msg =   2799, deg =  7 */    819,   2674,   4464,   5678,   7017,   7750,   9879, 
/* msg =   2800, deg =  7 */    879,   1931,   4155,   5836,   7189,   7737,   9543, 
/* msg =   2801, deg =  7 */    809,   2043,   4767,   6219,   7749,   8248,   9943, 
/* msg =   2802, deg =  7 */   1149,   2532,   3667,   6626,   7144,   7990,   9715, 
/* msg =   2803, deg =  7 */     48,   1766,   3376,   5333,   7357,   7376,   9761, 
/* msg =   2804, deg =  7 */    275,   2620,   4493,   5543,   7323,   7962,   9952, 
/* msg =   2805, deg =  7 */   1515,   2447,   3543,   5965,   7575,   7671,   9460, 
/* msg =   2806, deg =  7 */   1477,   3253,   4394,   5865,   7053,   8297,   9722, 
/* msg =   2807, deg =  7 */    877,   2427,   4498,   5056,   7321,   7720,   9475, 
/* msg =   2808, deg =  7 */     84,   2696,   4524,   6051,   7045,   7620,   9342, 
/* msg =   2809, deg =  7 */    445,   3248,   3761,   5120,   7083,   7956,   9218, 
/* msg =   2810, deg =  7 */   1270,   2492,   4198,   6469,   7841,   8090,   9279, 
/* msg =   2811, deg =  7 */    688,   2061,   3400,   5505,   6782,   6934,   9817, 
/* msg =   2812, deg =  7 */   1045,   1944,   4139,   6007,   7736,   8099,   9719, 
/* msg =   2813, deg =  7 */    866,   2987,   3325,   6201,   6782,   7121,   9682, 
/* msg =   2814, deg =  7 */   1360,   2714,   3703,   5749,   7304,   7537,   9793, 
/* msg =   2815, deg =  7 */    928,   3213,   3362,   6125,   8133,   8301,   9373, 
/* msg =   2816, deg =  7 */   1607,   2625,   3809,   5930,   8128,   8234,   9426, 
/* msg =   2817, deg =  7 */   1414,   3190,   4202,   6467,   7128,   8023,   9193, 
/* msg =   2818, deg =  7 */    288,   2074,   3775,   5368,   7828,   8233,   9155, 
/* msg =   2819, deg =  7 */   1157,   2644,   3395,   6118,   6835,   8167,   9967, 
/* msg =   2820, deg =  7 */   1027,   2016,   4051,   5611,   7123,   8245,   9953, 
/* msg =   2821, deg =  7 */   1204,   2566,   4737,   5161,   7080,   7790,   9901, 
/* msg =   2822, deg =  7 */    295,   3118,   4290,   5247,   7440,   8143,   9539, 
/* msg =   2823, deg =  7 */    782,   3039,   3567,   5795,   7170,   7917,   9649, 
/* msg =   2824, deg =  7 */    382,   2103,   4931,   5514,   6697,   8052,   9708, 
/* msg =   2825, deg =  7 */    810,   2302,   3379,   5186,   7143,   7217,   9205, 
/* msg =   2826, deg =  7 */    538,   2297,   4091,   5104,   6791,   7524,   9732, 
/* msg =   2827, deg =  7 */    414,   3263,   4064,   6092,   7596,   7619,   9924, 
/* msg =   2828, deg =  7 */   1457,   3216,   4004,   6206,   7652,   8193,   9287, 
/* msg =   2829, deg =  7 */   1271,   2036,   4367,   6325,   6648,   6859,   9340, 
/* msg =   2830, deg =  7 */    422,   2728,   4435,   6278,   6729,   7474,   9278, 
/* msg =   2831, deg =  7 */    558,   2590,   4542,   5961,   6994,   7237,   9491, 
/* msg =   2832, deg =  7 */   1604,   3138,   4208,   5023,   7037,   8095,   9690, 
/* msg =   2833, deg =  7 */    578,   2291,   4752,   5591,   6812,   7616,   9328, 
/* msg =   2834, deg =  7 */    785,   2940,   4072,   5316,   6718,   8209,   9776, 
/* msg =   2835, deg =  7 */   1488,   2209,   3799,   5616,   7196,   7668,   9857, 
/* msg =   2836, deg =  7 */     45,   2493,   4459,   5622,   7506,   7709,   9799, 
/* msg =   2837, deg =  7 */    568,   1761,   4865,   6091,   7310,   8005,   9741, 
/* msg =   2838, deg =  7 */    358,   2252,   3864,   6585,   6853,   7464,   9651, 
/* msg =   2839, deg =  7 */    972,   2959,   4972,   5106,   7778,   8022,   9242, 
/* msg =   2840, deg =  7 */   1082,   1882,   4517,   5884,   6730,   8212,   9942, 
/* msg =   2841, deg =  7 */    802,   2177,   3583,   5410,   7137,   7457,   9743, 
/* msg =   2842, deg =  7 */   1215,   3175,   4454,   5649,   7398,   8035,   9175, 
/* msg =   2843, deg =  7 */   1524,   2130,   4417,   5743,   7869,   8208,   9498, 
/* msg =   2844, deg =  7 */   1455,   2764,   4428,   6267,   7540,   7776,   9332, 
/* msg =   2845, deg =  7 */    321,   1879,   3744,   5553,   7247,   7503,   9329, 
/* msg =   2846, deg =  7 */   1259,   2053,   4244,   6378,   6854,   7002,   9302, 
/* msg =   2847, deg =  7 */   1231,   2064,   4682,   5971,   7843,   8076,   9253, 
/* msg =   2848, deg =  7 */    555,   2580,   4429,   5935,   7231,   7417,   9379, 
/* msg =   2849, deg =  7 */    740,   1862,   4765,   5802,   6695,   6961,   9548, 
/* msg =   2850, deg =  7 */    328,   2466,   3541,   5450,   7194,   8151,   9750, 
/* msg =   2851, deg =  7 */    808,   1991,   3486,   5210,   7645,   7913,   9322, 
/* msg =   2852, deg =  7 */    556,   2429,   3848,   5806,   7186,   7657,   9838, 
/* msg =   2853, deg =  7 */    186,   1856,   4769,   5169,   7371,   7970,   9602, 
/* msg =   2854, deg =  7 */   1634,   2026,   4315,   6224,   7392,   7986,   9365, 
/* msg =   2855, deg =  7 */   1252,   2840,   4624,   6608,   7855,   7952,   9745, 
/* msg =   2856, deg =  7 */   1649,   2994,   4081,   5180,   6714,   7341,   9588, 
/* msg =   2857, deg =  7 */   1656,   1885,   4925,   5988,   7759,   8017,   9592, 
/* msg =   2858, deg =  7 */    544,   2827,   3386,   5808,   6702,   7119,   9466, 
/* msg =   2859, deg =  7 */    497,   1815,   3926,   5079,   7124,   8069,   9208, 
/* msg =   2860, deg =  7 */      4,   2266,   4251,   5303,   7919,   7996,   9590, 
/* msg =   2861, deg =  7 */   1162,   3143,   3409,   6032,   6783,   7245,   9603, 
/* msg =   2862, deg =  7 */   1475,   2024,   4793,   5396,   6986,   7168,   9788, 
/* msg =   2863, deg =  7 */    199,   2083,   3373,   5436,   7041,   7076,   9534, 
/* msg =   2864, deg =  7 */   1265,   1980,   4079,   5618,   7493,   7709,   9166, 
/* msg =   2865, deg =  7 */    620,   3297,   4554,   5619,   6648,   7454,   9264, 
/* msg =   2866, deg =  7 */    145,   2070,   3694,   5702,   7783,   8293,   9960, 
/* msg =   2867, deg =  7 */    942,   1948,   4628,   5273,   7204,   8132,   9270, 
/* msg =   2868, deg =  7 */   1318,   3188,   4630,   5263,   6690,   7727,   9268, 
/* msg =   2869, deg =  7 */   1046,   3115,   4760,   5088,   6936,   8067,   9570, 
/* msg =   2870, deg =  7 */    132,   2929,   4346,   6089,   7260,   7349,   9410, 
/* msg =   2871, deg =  7 */   1608,   2018,   4174,   6197,   6845,   7299,   9654, 
/* msg =   2872, deg =  7 */   1509,   2579,   3962,   4989,   6829,   7908,   9699, 
/* msg =   2873, deg =  7 */    964,   1807,   3678,   5944,   7183,   7330,   9882, 
/* msg =   2874, deg =  7 */   1122,   2515,   3997,   5532,   7843,   8042,   9818, 
/* msg =   2875, deg =  7 */   1178,   2186,   3713,   6058,   7748,   7749,   9860, 
/* msg =   2876, deg =  7 */    174,   3168,   3671,   5190,   7455,   7678,   9753, 
/* msg =   2877, deg =  7 */   1511,   2677,   3424,   5885,   7407,   7898,   9259, 
/* msg =   2878, deg =  7 */    450,   2304,   4926,   5407,   6677,   7080,   9731, 
/* msg =   2879, deg =  7 */     98,   2112,   3897,   5312,   6826,   6968,   9580, 
/* msg =   2880, deg =  7 */   1160,   3202,   4839,   5937,   7628,   7904,   9181, 
/* msg =   2881, deg =  7 */    165,   2735,   4393,   5660,   7308,   7497,   9370, 
/* msg =   2882, deg =  7 */     63,   3042,   3895,   5429,   6992,   7622,   9567, 
/* msg =   2883, deg =  7 */    181,   2575,   4715,   6346,   6787,   7754,   9656, 
/* msg =   2884, deg =  7 */    338,   1987,   3430,   5178,   7805,   7970,   9495, 
/* msg =   2885, deg =  7 */    326,   3093,   4153,   5187,   6662,   7549,   9472, 
/* msg =   2886, deg =  7 */   1613,   2842,   4356,   6340,   7062,   7300,   9497, 
/* msg =   2887, deg =  7 */    679,   2503,   3726,   5952,   8136,   8164,   9518, 
/* msg =   2888, deg =  7 */    859,   2190,   4486,   6435,   7195,   7718,   9955, 
/* msg =   2889, deg =  7 */   1415,   2767,   4157,   5337,   7157,   7262,   9194, 
/* msg =   2890, deg =  7 */   1602,   1823,   3406,   6444,   7445,   7677,   9369, 
/* msg =   2891, deg =  7 */   1352,   2383,   4569,   5864,   6888,   8045,   9473, 
/* msg =   2892, deg =  7 */    603,   2442,   4788,   6263,   7478,   7596,   9236, 
/* msg =   2893, deg =  7 */   1301,   2276,   3518,   5858,   7932,   8059,   9701, 
/* msg =   2894, deg =  7 */   1490,   2234,   4706,   6038,   7151,   7309,   9408, 
/* msg =   2895, deg =  7 */    807,   1903,   4755,   6133,   7160,   8110,   9926, 
/* msg =   2896, deg =  7 */    857,   1932,   3855,   5785,   7119,   7868,   9925, 
/* msg =   2897, deg =  7 */   1469,   2150,   4660,   6288,   7322,   8186,   9589, 
/* msg =   2898, deg =  7 */   1582,   2262,   4655,   5164,   6909,   7462,   9538, 
/* msg =   2899, deg =  7 */    483,   2862,   3568,   5977,   6935,   7020,   9927, 
/* msg =   2900, deg =  7 */    825,   2084,   3987,   5497,   6795,   7810,   9604, 
/* msg =   2901, deg =  7 */   1043,   2549,   4590,   5446,   7155,   7436,   9422, 
/* msg =   2902, deg =  7 */    113,   2117,   3481,   5012,   7013,   7086,   9399, 
/* msg =   2903, deg =  7 */    172,   2979,   4021,   5027,   6707,   7135,   9937, 
/* msg =   2904, deg =  7 */   1117,   2115,   4893,   6422,   7557,   8007,   9660, 
/* msg =   2905, deg =  7 */    370,   2472,   4717,   4998,   6674,   7772,   9576, 
/* msg =   2906, deg =  7 */   1371,   2701,   4160,   6211,   7393,   8021,   9377, 
/* msg =   2907, deg =  7 */   1572,   2826,   4159,   5642,   7181,   7512,   9830, 
/* msg =   2908, deg =  7 */    128,   2803,   4532,   5910,   6734,   7715,   9698, 
/* msg =   2909, deg =  7 */    413,   3221,   4848,   5539,   7726,   8217,   9431, 
/* msg =   2910, deg =  7 */   1541,   2318,   4151,   5076,   7332,   8242,   9271, 
/* msg =   2911, deg =  7 */    805,   2198,   4759,   5755,   6744,   8270,   9756, 
/* msg =   2912, deg =  7 */    570,   2874,   3748,   6185,   6733,   7165,   9876, 
/* msg =   2913, deg =  7 */    368,   3136,   4644,   5430,   7876,   8222,   9728, 
/* msg =   2914, deg =  7 */    966,   2426,   4343,   5650,   7701,   7928,   9261, 
/* msg =   2915, deg =  7 */    610,   2825,   3723,   5759,   6676,   8241,   9619, 
/* msg =   2916, deg =  7 */    296,   2051,   3612,   6221,   7166,   7701,   9154, 
/* msg =   2917, deg =  7 */   1146,   2132,   4456,   5158,   7720,   7772,   9951, 
/* msg =   2918, deg =  7 */     85,   2969,   3505,   5737,   6898,   8155,   9161, 
/* msg =   2919, deg =  7 */    954,   2497,   4921,   6036,   8193,   8279,   9586, 
/* msg =   2920, deg =  7 */    852,   2818,   4351,   6293,   6868,   7267,   9288, 
/* msg =   2921, deg =  7 */   1057,   2307,   3560,   5768,   6654,   6984,   9333, 
/* msg =   2922, deg =  7 */     80,   2480,   3717,   6093,   6955,   7110,   9390, 
/* msg =   2923, deg =  7 */    777,   2482,   4685,   5371,   7276,   7590,   9808, 
/* msg =   2924, deg =  7 */   1281,   2445,   3345,   6361,   7402,   7934,   9601, 
/* msg =   2925, deg =  7 */     82,   1798,   4416,   6466,   7076,   7180,   9234, 
/* msg =   2926, deg =  7 */    728,   3134,   4438,   5838,   7173,   8261,   9934, 
/* msg =   2927, deg =  7 */   1015,   2385,   4565,   5693,   7435,   8041,   9616, 
/* msg =   2928, deg =  7 */   1024,   2457,   4269,   6210,   6983,   7515,   9286, 
/* msg =   2929, deg =  7 */   1643,   1850,   4135,   5974,   6797,   7910,   9402, 
/* msg =   2930, deg =  7 */    767,   2531,   4920,   6616,   7423,   7774,   9191, 
/* msg =   2931, deg =  7 */    973,   1998,   4723,   5637,   8055,   8240,   9710, 
/* msg =   2932, deg =  7 */    771,   2769,   4158,   5093,   6902,   6969,   9273, 
/* msg =   2933, deg =  7 */     89,   2264,   4672,   5924,   7496,   8224,   9627, 
/* msg =   2934, deg =  7 */   1298,   2293,   3638,   6416,   7744,   8289,   9584, 
/* msg =   2935, deg =  7 */   1564,   2921,   3603,   6503,   7192,   8008,   9685, 
/* msg =   2936, deg =  7 */   1038,   1864,   3493,   6382,   7608,   7643,   9648, 
/* msg =   2937, deg =  7 */    204,   3232,   4425,   5480,   6716,   7905,   9747, 
/* msg =   2938, deg =  7 */    318,   1960,   3412,   5355,   7769,   7857,   9391, 
/* msg =   2939, deg =  7 */   1036,   2236,   4305,   5136,   6847,   8189,   9840, 
/* msg =   2940, deg =  7 */     43,   2151,   3903,   5663,   7526,   7541,   9450, 
/* msg =   2941, deg =  7 */    482,   2127,   3564,   5767,   8267,   8308,   9712, 
/* msg =   2942, deg =  7 */    593,   2032,   3389,   5406,   6729,   6761,   9911, 
/* msg =   2943, deg =  7 */    923,   3318,   4811,   5542,   7791,   7801,   9427, 
/* msg =   2944, deg =  7 */   1632,   3218,   3575,   6426,   7559,   8106,   9669, 
/* msg =   2945, deg =  7 */    308,   2411,   4726,   6609,   6663,   7584,   9679, 
/* msg =   2946, deg =  7 */   1451,   2443,   4691,   5955,   7383,   7855,   9868, 
/* msg =   2947, deg =  7 */   1421,   1739,   3627,   6593,   7665,   7874,   9494, 
/* msg =   2948, deg =  7 */    672,   2459,   4258,   5253,   7680,   8084,   9883, 
/* msg =   2949, deg =  7 */    681,   2055,   3979,   5206,   7441,   7653,   9183, 
/* msg =   2950, deg =  7 */   1576,   2858,   4409,   6574,   6692,   8055,   9824, 
/* msg =   2951, deg =  7 */    637,   2038,   4960,   5814,   6709,   7520,   9638, 
/* msg =   2952, deg =  7 */     51,   2930,   4199,   5680,   7013,   8279,   9659, 
/* msg =   2953, deg =  7 */    106,   1735,   3572,   6430,   7609,   7909,   9635, 
/* msg =   2954, deg =  7 */    962,   2071,   3714,   6241,   6850,   7429,   9511, 
/* msg =   2955, deg =  7 */    221,   2594,   3410,   5958,   6723,   7177,   9706, 
/* msg =   2956, deg =  7 */   1454,   2249,   4221,   5628,   7939,   7988,   9862, 
/* msg =   2957, deg =  7 */    210,   1686,   4494,   5617,   7171,   7467,   9184, 
/* msg =   2958, deg =  7 */    871,   2861,   3783,   5138,   7084,   7509,   9400, 
/* msg =   2959, deg =  7 */    961,   3172,   3511,   5467,   7419,   8057,   9591, 
/* msg =   2960, deg =  7 */    158,   2548,   3885,   5375,   6843,   7250,   9457, 
/* msg =   2961, deg =  7 */    836,   2144,   4477,   6187,   6990,   8056,   9703, 
/* msg =   2962, deg =  7 */    868,   2023,   4073,   6019,   6754,   7866,   9164, 
/* msg =   2963, deg =  7 */    148,   3132,   4954,   5577,   6711,   7478,   9395, 
/* msg =   2964, deg =  7 */    105,   2830,   4897,   5492,   7266,   7935,   9904, 
/* msg =   2965, deg =  7 */    716,   2664,   3702,   4995,   6925,   6989,   9275, 
/* msg =   2966, deg =  7 */   1548,   2839,   3980,   6251,   6753,   7869,   9305, 
/* msg =   2967, deg =  7 */   1605,   2214,   4027,   6047,   7243,   7359,   9362, 
/* msg =   2968, deg =  7 */    114,   1962,   4195,   5584,   6903,   6996,   9600, 
/* msg =   2969, deg =  7 */   1041,   2977,   4851,   5441,   7081,   8174,   9436, 
/* msg =   2970, deg =  7 */   1177,   3276,   4684,   6024,   7475,   8026,   9337, 
/* msg =   2971, deg =  7 */    188,   2111,   4167,   6596,   6652,   6719,   9485, 
/* msg =   2972, deg =  7 */    953,   3009,   4546,   5857,   7321,   7327,   9303, 
/* msg =   2973, deg =  7 */    454,   2458,   4609,   5344,   7082,   7286,   9774, 
/* msg =   2974, deg =  7 */    913,   1938,   3849,   5383,   7342,   7397,   9740, 
/* msg =   2975, deg =  7 */    448,   2770,   3734,   5516,   6869,   7773,   9575, 
/* msg =   2976, deg =  7 */    700,   1825,   4306,   5221,   7044,   8256,   9341, 
/* msg =   2977, deg =  7 */   1516,   2129,   3540,   5609,   7307,   7363,   9733, 
/* msg =   2978, deg =  7 */    914,   1727,   4958,   5171,   7781,   8291,   9680, 
/* msg =   2979, deg =  7 */    217,   2878,   4898,   5476,   6848,   7780,   9961, 
/* msg =   2980, deg =  7 */   1212,   3247,   3697,   5111,   6686,   6754,   9749, 
/* msg =   2981, deg =  7 */      6,   2756,   3647,   5197,   6651,   6838,   9513, 
/* msg =   2982, deg =  7 */    223,   2883,   3420,   5149,   6893,   8227,   9870, 
/* msg =   2983, deg =  7 */   1416,   2811,   4224,   5593,   6922,   7221,   9169, 
/* msg =   2984, deg =  7 */   1496,   2382,   4042,   6296,   8152,   8211,   9265, 
/* msg =   2985, deg =  7 */    845,   1662,   3353,   6031,   7625,   7736,   9464, 
/* msg =   2986, deg =  7 */    550,   2725,   4551,   5184,   6899,   7907,   9419, 
/* msg =   2987, deg =  7 */    255,   1935,   3629,   6523,   6755,   7218,   9267, 
/* msg =   2988, deg =  7 */    138,   2948,   3447,   6572,   7665,   7813,   9646, 
/* msg =   2989, deg =  7 */    542,   2853,   3914,   5117,   7317,   7469,   9526, 
/* msg =   2990, deg =  7 */    378,   2444,   4364,   6309,   6653,   7449,   9853, 
/* msg =   2991, deg =  7 */     72,   3113,   4240,   6158,   7594,   7897,   9900, 
/* msg =   2992, deg =  7 */    343,   2545,   4928,   6577,   6734,   7927,   9735, 
/* msg =   2993, deg =  7 */   1648,   2060,   4360,   6078,   6659,   7757,   9826, 
/* msg =   2994, deg =  7 */   1255,   2378,   4248,   6181,   6828,   8230,   9869, 
/* msg =   2995, deg =  7 */   1214,   3088,   4263,   6482,   6744,   7021,   9454, 
/* msg =   2996, deg =  7 */    274,   3084,   3863,   5778,   7509,   7551,   9771, 
/* msg =   2997, deg =  7 */    630,   1982,   3468,   5000,   6658,   6804,   9634, 
/* msg =   2998, deg =  7 */   1049,   2562,   4692,   5129,   7414,   7456,   9484, 
/* msg =   2999, deg =  7 */    935,   1843,   4236,   6352,   7543,   7651,   9239, 
/* msg =   3000, deg =  7 */     23,   1866,   4687,   5964,   7774,   8083,   9964, 
/* msg =   3001, deg =  7 */     20,   2528,   4270,   5292,   6753,   7411,   9446, 
/* msg =   3002, deg =  7 */    124,   2188,   3421,   5309,   6943,   8296,   9151, 
/* msg =   3003, deg =  7 */   1026,   3196,   4369,   5833,   7491,   7978,   9780, 
/* msg =   3004, deg =  7 */    169,   2241,   3367,   5005,   8069,   8125,   9414, 
/* msg =   3005, deg =  7 */   1020,   2078,   4071,   6427,   6931,   8288,   9683, 
/* msg =   3006, deg =  7 */   1295,   1804,   3333,   6471,   6701,   6878,   9833, 
/* msg =   3007, deg =  7 */   1268,   2483,   4252,   6270,   7847,   8143,   9356, 
/* msg =   3008, deg =  7 */    834,   2393,   3405,   5473,   7282,   8026,   9572, 
/* msg =   3009, deg =  7 */    697,   1845,   4571,   6249,   6788,   7556,   9608, 
/* msg =   3010, deg =  7 */    254,   1688,   4366,   6218,   7040,   7853,   9263, 
/* msg =   3011, deg =  7 */    887,   2602,   4426,   5756,   6871,   7687,   9892, 
/* msg =   3012, deg =  7 */    600,   3085,   3573,   6535,   7242,   7753,   9861, 
/* msg =   3013, deg =  7 */    976,   3165,   4176,   5934,   7063,   7138,   9516, 
/* msg =   3014, deg =  7 */   1617,   2253,   4678,   6247,   7223,   7937,   9848, 
/* msg =   3015, deg =  7 */   1007,   2668,   4334,   5794,   6899,   7560,   9684, 
/* msg =   3016, deg =  7 */   1053,   2583,   4985,   6592,   8022,   8144,   9582, 
/* msg =   3017, deg =  7 */   1000,   2927,   3733,   5948,   7585,   7997,   9200, 
/* msg =   3018, deg =  7 */   1282,   2640,   4548,   5752,   7595,   7712,   9664, 
/* msg =   3019, deg =  7 */   1284,   2535,   3693,   6291,   7059,   8196,   9643, 
/* msg =   3020, deg =  7 */    664,   3311,   4052,   5777,   7395,   7985,   9559, 
/* msg =   3021, deg =  7 */   1486,   1679,   3634,   6063,   7031,   7945,   9918, 
/* msg =   3022, deg =  7 */   1154,   2639,   3472,   5464,   6942,   6986,   9403, 
/* msg =   3023, deg =  7 */    426,   1920,   3752,   5894,   6999,   7460,   9823, 
/* msg =   3024, deg =  7 */    995,   3144,   3995,   5030,   6987,   8168,   9665, 
/* msg =   3025, deg =  7 */    504,   2595,   4171,   5936,   8048,   8050,   9790, 
/* msg =   3026, deg =  7 */   1450,   2199,   4563,   5769,   7415,   7743,   9888, 
/* msg =   3027, deg =  7 */   1088,   3244,   3915,   5789,   6721,   8016,   9444, 
/* msg =   3028, deg =  7 */    532,   3205,   4914,   6531,   7200,   7885,   9512, 
/* msg =   3029, deg =  7 */   1536,   3045,   4110,   6129,   6912,   8305,   9195, 
/* msg =   3030, deg =  7 */    200,   2658,   4574,   5825,   7136,   8000,   9805, 
/* msg =   3031, deg =  7 */   1517,   1774,   4103,   6413,   6897,   7740,   9180, 
/* msg =   3032, deg =  7 */   1522,   3080,   3773,   6337,   7367,   7446,   9455, 
/* msg =   3033, deg =  7 */    205,   2141,   4186,   6161,   7379,   8036,   9779, 
/* msg =   3034, deg =  7 */    915,   3013,   4194,   5890,   6852,   8176,   9734, 
/* msg =   3035, deg =  7 */     39,   2268,   4978,   5848,   7422,   7875,   9806, 
/* msg =   3036, deg =  7 */   1468,   2203,   3729,   6643,   7734,   8147,   9250, 
/* msg =   3037, deg =  7 */   1192,   2484,   3432,   6406,   7035,   7896,   9524, 
/* msg =   3038, deg =  7 */    862,   2012,   3636,   5587,   8027,   8228,   9438, 
/* msg =   3039, deg =  7 */   1485,   2810,   3485,   6297,   7212,   7351,   9822, 
/* msg =   3040, deg =  7 */    431,   1703,   4136,   6627,   7340,   7353,   9803, 
/* msg =   3041, deg =  7 */   1599,   2158,   4389,   6567,   7964,   7999,   9394, 
/* msg =   3042, deg =  7 */    441,   3208,   4284,   5341,   7145,   7554,   9693, 
/* msg =   3043, deg =  7 */    886,   2324,   3949,   5690,   7128,   7697,   9430, 
/* msg =   3044, deg =  7 */   1235,   1743,   3811,   6289,   7359,   7549,   9758, 
/* msg =   3045, deg =  7 */    833,   1990,   4378,   6425,   6721,   7023,   9816, 
/* msg =   3046, deg =  7 */    266,   3089,   3854,   5627,   7221,   8038,   9170, 
/* msg =   3047, deg =  7 */    152,   2693,   3388,   5071,   7011,   7726,   9834, 
/* msg =   3048, deg =  7 */   1150,   1955,   4197,   6539,   6688,   8064,   9939, 
/* msg =   3049, deg =  7 */   1245,   2896,   4292,   5788,   7487,   8060,   9807, 
/* msg =   3050, deg =  7 */    634,   3319,   3736,   6305,   6825,   6985,   9258, 
/* msg =   3051, deg =  7 */    608,   1867,   4250,   6449,   7776,   8145,   9641, 
/* msg =   3052, deg =  7 */   1661,   2821,   3324,   5589,   7061,   7220,   9162, 
/* msg =   3053, deg =  7 */    244,   1816,   3534,   6054,   7600,   7795,   9614, 
/* msg =   3054, deg =  7 */   1277,   1671,   4450,   6311,   7263,   7578,   9351, 
/* msg =   3055, deg =  7 */    108,   3068,   4608,   5537,   7008,   7339,   9321, 
/* msg =   3056, deg =  7 */   1655,   2669,   4683,   6073,   6965,   7688,   9525, 
/* msg =   3057, deg =  7 */    161,   1832,   4322,   5841,   7129,   8097,   9453, 
/* msg =   3058, deg =  7 */    247,   1700,   4018,   6048,   6735,   7603,   9720, 
/* msg =   3059, deg =  7 */    391,   1917,   3585,   6131,   7118,   7568,   9626, 
/* msg =   3060, deg =  7 */    269,   3158,   4098,   6203,   7667,   7973,   9632, 
/* msg =   3061, deg =  7 */   1034,   1820,   3566,   5562,   6827,   6964,   9551, 
/* msg =   3062, deg =  7 */   1067,   2628,   4172,   5714,   6660,   6933,   9331, 
/* msg =   3063, deg =  7 */    452,   2288,   4614,   6508,   7136,   8051,   9386, 
/* msg =   3064, deg =  7 */   1433,   2381,   4070,   5034,   7226,   7678,   9963, 
/* msg =   3065, deg =  7 */   1202,   2085,   4501,   5479,   7040,   7368,   9871, 
/* msg =   3066, deg =  7 */    529,   2785,   4664,   5536,   6784,   8241,   9220, 
/* msg =   3067, deg =  7 */   1367,   1789,   4674,   6053,   8107,   8123,   9295, 
/* msg =   3068, deg =  7 */    137,   3014,   4750,   5607,   7001,   7563,   9142, 
/* msg =   3069, deg =  7 */    701,   3046,   4420,   6581,   7545,   7735,   9506, 
/* msg =   3070, deg =  7 */   1153,   3106,   3860,   5763,   6993,   7826,   9639, 
/* msg =   3071, deg =  7 */   1577,   1957,   3378,   6155,   6890,   7102,   9897, 
/* msg =   3072, deg =  7 */   1340,   2685,   3985,   5182,   6882,   7510,   9936, 
/* msg =   3073, deg =  7 */    366,   2126,   4143,   6617,   6995,   7497,   9642, 
/* msg =   3074, deg =  7 */    440,   2708,   3630,   5398,   6857,   8067,   9612, 
/* msg =   3075, deg =  7 */   1084,   1780,   3435,   6381,   6659,   7778,   9320, 
/* msg =   3076, deg =  7 */    820,   2627,   3382,   5261,   7370,   7626,   9528, 
/* msg =   3077, deg =  7 */    791,   3176,   3426,   5385,   7206,   7973,   9930, 
/* msg =   3078, deg =  7 */    457,   2682,   4256,   6253,   6724,   7230,   9781, 
/* msg =   3079, deg =  7 */   1148,   2954,   4656,   5085,   7182,   8061,   9721, 
/* msg =   3080, deg =  7 */   1565,   3204,   3944,   6637,   7513,   7733,   9856, 
/* msg =   3081, deg =  7 */   1068,   2824,   4034,   5037,   7396,   7893,   9160, 
/* msg =   3082, deg =  7 */   1518,   2357,   4446,   5413,   7384,   8114,   9709, 
/* msg =   3083, deg =  7 */    175,   2019,   3586,   6487,   6897,   7418,   9751, 
/* msg =   3084, deg =  7 */   1250,   1690,   4046,   5727,   7217,   7666,   9650, 
/* msg =   3085, deg =  7 */    369,   2057,   3643,   5682,   7297,   8134,   9483, 
/* msg =   3086, deg =  7 */    684,   1936,   4152,   6277,   7079,   7663,   9581, 
/* msg =   3087, deg =  7 */   1570,   2578,   4068,   6480,   7409,   8278,   9176, 
/* msg =   3088, deg =  7 */    194,   3167,   3927,   5327,   7662,   7912,   9647, 
/* msg =   3089, deg =  7 */    853,   3201,   3984,   5832,   7372,   8001,   9361, 
/* msg =   3090, deg =  7 */    401,   1847,   4834,   6287,   6671,   7094,   9532, 
/* msg =   3091, deg =  7 */    799,   3135,   3898,   5855,   6832,   6919,   9228, 
/* msg =   3092, deg =  7 */    196,   2308,   4964,   6082,   7159,   8120,   9729, 
/* msg =   3093, deg =  7 */   1119,   2205,   4277,   5276,   7897,   8126,   9141, 
/* msg =   3094, deg =  7 */   1443,   3277,   3415,   6528,   7433,   8166,   9637, 
/* msg =   3095, deg =  7 */    554,   2223,   4797,   6587,   7254,   7847,   9962, 
/* msg =   3096, deg =  7 */   1116,   1855,   4665,   5489,   7091,   7165,   9357, 
/* msg =   3097, deg =  7 */    968,   1989,   4538,   6312,   6656,   8205,   9716, 
/* msg =   3098, deg =  7 */    705,   2629,   3925,   5929,   7587,   8290,   9415, 
/* msg =   3099, deg =  7 */   1290,   2507,   4500,   6478,   6919,   7862,   9355, 
/* msg =   3100, deg =  7 */   1446,   2952,   4950,   5850,   7517,   7617,   9700, 
/* msg =   3101, deg =  7 */    937,   3053,   4963,   6501,   6813,   8254,   9599, 
/* msg =   3102, deg =  7 */   1657,   1770,   3459,   5103,   7357,   7498,   9229, 
/* msg =   3103, deg =  7 */    982,   3081,   4636,   5736,   7111,   7584,   9251, 
/* msg =   3104, deg =  7 */   1044,   3103,   3772,   6625,   7064,   8299,   9143, 
/* msg =   3105, deg =  7 */   1633,   2462,   3861,   6344,   6945,   8227,   9569, 
/* msg =   3106, deg =  7 */    262,   3133,   4132,   6002,   6752,   8184,   9437, 
/* msg =   3107, deg =  7 */     61,   3264,   3356,   6149,   7574,   7954,   9182, 
/* msg =   3108, deg =  7 */    779,   2202,   4868,   6633,   7459,   7927,   9209, 
/* msg =   3109, deg =  7 */    218,   2587,   4473,   4993,   7234,   8264,   9411, 
/* msg =   3110, deg =  7 */   1018,   2355,   3431,   5641,   7337,   7604,   9746, 
/* msg =   3111, deg =  7 */    569,   2849,   4485,   6522,   7050,   8295,   9785, 
/* msg =   3112, deg =  7 */    794,   2398,   4448,   5926,   7306,   7832,   9158, 
/* msg =   3113, deg =  7 */    461,   2536,   3869,   6556,   6995,   7149,   9573, 
/* msg =   3114, deg =  7 */    232,   1794,   3375,   5465,   7511,   7513,   9605, 
/* msg =   3115, deg =  7 */    831,   2747,   3611,   5745,   6930,   7166,   9293, 
/* msg =   3116, deg =  7 */   1131,   3123,   3565,   6026,   7758,   8280,   9311, 
/* msg =   3117, deg =  7 */    616,   2221,   4352,   5286,   7188,   8172,   9425, 
/* msg =   3118, deg =  7 */    176,   2788,   3822,   5807,   6880,   7163,   9549, 
/* msg =   3119, deg =  7 */   1234,   3252,   3878,   5509,   6739,   7698,   9442, 
/* msg =   3120, deg =  7 */    355,   3048,   4056,   5256,   7377,   7692,   9451, 
/* msg =   3121, deg =  7 */    648,   3281,   4578,   5185,   6703,   6781,   9359, 
/* msg =   3122, deg =  7 */    419,   1769,   4837,   6534,   6941,   7493,   9406, 
/* msg =   3123, deg =  7 */    170,   2334,   4935,   5326,   7465,   7731,   9878, 
/* msg =   3124, deg =  7 */    647,   2962,   4444,   6619,   7216,   7492,   9970, 
/* msg =   3125, deg =  7 */   1597,   2681,   4968,   6009,   7214,   7705,   9935, 
/* msg =   3126, deg =  7 */   1128,   2182,   3889,   5824,   6746,   7356,   9657, 
/* msg =   3127, deg =  7 */   1382,   3099,   4164,   5942,   6985,   7633,   9417, 
/* msg =   3128, deg =  7 */    178,   3070,   3786,   5534,   6653,   6684,   9906, 
/* msg =   3129, deg =  7 */    122,   2013,   4572,   5753,   8028,   8202,   9248, 
/* msg =   3130, deg =  7 */   1356,   1973,   3982,   5374,   6827,   7411,   9566, 
/* msg =   3131, deg =  7 */    692,   1808,   4534,   5319,   6749,   7085,   9552, 
/* msg =   3132, deg =  7 */    773,   2797,   4304,   5867,   6649,   7690,   9863, 
/* msg =   3133, deg =  7 */     94,   3227,   4888,   6401,   6855,   7994,   9810, 
/* msg =   3134, deg =  7 */   1306,   2292,   4635,   5771,   7602,   7691,   9866, 
/* msg =   3135, deg =  7 */    329,   1977,   3414,   5973,   7848,   8225,   9277, 
/* msg =   3136, deg =  7 */     31,   2336,   4585,   5830,   6789,   7823,   9587, 
/* msg =   3137, deg =  7 */     49,   2118,   3460,   5379,   7291,   7405,   9738, 
/* msg =   3138, deg =  7 */    157,   2328,   3871,   5366,   6725,   7114,   9865, 
/* msg =   3139, deg =  7 */    110,   2742,   4016,   6174,   7895,   7967,   9284, 
/* msg =   3140, deg =  7 */    233,   1928,   4922,   6280,   7096,   7849,   9905, 
/* msg =   3141, deg =  7 */    147,   3117,   3663,   6127,   7111,   7942,   9186, 
/* msg =   3142, deg =  7 */   1325,   2165,   3425,   5329,   7800,   8025,   9247, 
/* msg =   3143, deg =  7 */    741,   2514,   3686,   5139,   7015,   7823,   9668, 
/* msg =   3144, deg =  7 */   1535,   1952,   4053,   5633,   6797,   7329,   9909, 
/* msg =   3145, deg =  7 */   1646,   2775,   4148,   5975,   7348,   7421,   9813, 
/* msg =   3146, deg =  7 */    409,   2915,   3847,   5353,   7413,   7453,   9893, 
/* msg =   3147, deg =  7 */     21,   2102,   4388,   6459,   7044,   7122,   9828, 
/* msg =   3148, deg =  7 */   1253,   2904,   4077,   5195,   7406,   8294,   9219, 
/* msg =   3149, deg =  7 */    583,   2733,   4821,   6606,   7130,   7840,   9691, 
/* msg =   3150, deg =  7 */    981,   2207,   4617,   5523,   7105,   7879,   9760, 
/* msg =   3151, deg =  7 */   1123,   2667,   3455,   5656,   6823,   7804,   9737, 
/* msg =   3152, deg =  7 */    910,   2777,   3335,   6198,   6833,   7054,   9292, 
/* msg =   3153, deg =  7 */    508,   2298,   4496,   6588,   6911,   7169,   9899, 
/* msg =   3154, deg =  7 */     40,   2453,   4649,   5658,   7362,   7779,   9644, 
/* msg =   3155, deg =  7 */   1273,   2494,   4217,   5868,   8096,   8135,   9763, 
/* msg =   3156, deg =  7 */   1047,   2343,   3680,   5052,   7601,   7911,   9653, 
/* msg =   3157, deg =  7 */   1335,   2161,   4015,   5173,   7655,   8019,   9407, 
/* msg =   3158, deg =  7 */   1152,   2949,   3668,   5623,   7022,   7695,   9704, 
/* msg =   3159, deg =  7 */    652,   2688,   3619,   5471,   6847,   8209,   9611, 
/* msg =   3160, deg =  7 */    563,   1791,   4353,   5674,   7727,   8271,   9792, 
/* msg =   3161, deg =  7 */   1292,   2638,   4281,   5744,   6926,   8139,   9898, 
/* msg =   3162, deg =  7 */   1077,   2004,   4069,   5779,   7059,   7631,   9339, 
/* msg =   3163, deg =  7 */    714,   3157,   4044,   5708,   7094,   7435,   9470, 
/* msg =   3164, deg =  7 */    453,   3119,   3989,   5205,   7187,   7702,   9487, 
/* msg =   3165, deg =  7 */    951,   3170,   4509,   5175,   6652,   7071,   9940, 
/* msg =   3166, deg =  7 */   1635,   2386,   3882,   5960,   7814,   8124,   9441, 
/* msg =   3167, deg =  7 */    351,   2196,   3801,   5878,   6868,   7572,   9629, 
/* msg =   3168, deg =  7 */   1363,   3261,   4747,   5448,   7009,   8039,   9190, 
/* msg =   3169, deg =  7 */    739,   2525,   4817,   6138,   6950,   7938,   9517, 
/* msg =   3170, deg =  7 */   1023,   2687,   4932,   5891,   6873,   7202,   9889, 
/* msg =   3171, deg =  7 */    207,   3051,   4134,   6230,   7394,   8274,   9500, 
/* msg =   3172, deg =  7 */    881,   2250,   4452,   6544,   6917,   7650,   9201, 
/* msg =   3173, deg =  7 */    993,   1893,   4331,   6175,   6745,   7959,   9334, 
/* msg =   3174, deg =  7 */      8,   2815,   3967,   5244,   6908,   7755,   9244, 
/* msg =   3175, deg =  7 */   1163,   3027,   3473,   5675,   7795,   7830,   9255, 
/* msg =   3176, deg =  7 */   1256,   3301,   3902,   5570,   6895,   8058,   9920, 
/* msg =   3177, deg =  7 */    267,   2673,   3605,   5101,   6856,   7409,   9291, 
/* msg =   3178, deg =  7 */   1326,   1758,   3346,   5094,   6759,   8233,   9489, 
/* msg =   3179, deg =  7 */    120,   3323,   3344,   6399,   6786,   7299,   9346, 
/* msg =   3180, deg =  7 */    564,   3177,   3788,   6442,   7757,   8220,   9476, 
/* msg =   3181, deg =  7 */    633,   2499,   4953,   5871,   7121,   7224,   9423, 
/* msg =   3182, deg =  7 */    788,   2265,   4949,   5055,   6902,   7257,   9272, 
/* msg =   3183, deg =  7 */    198,   2908,   4092,   5306,   7210,   7926,   9894, 
/* msg =   3184, deg =  7 */   1426,   1776,   4526,   6645,   7731,   8296,   9294, 
/* msg =   3185, deg =  7 */    229,   2113,   4831,   6234,   7301,   8272,   9757, 
/* msg =   3186, deg =  7 */    156,   1966,   3535,   5461,   6715,   8017,   9307, 
/* msg =   3187, deg =  7 */   1392,   2248,   4104,   6226,   7775,   8082,   9772, 
/* msg =   3188, deg =  7 */   1129,   1697,   4102,   6509,   6949,   8059,   9550, 
/* msg =   3189, deg =  7 */     76,   2331,   4349,   6300,   7966,   8168,   9297, 
/* msg =   3190, deg =  7 */   1401,   3090,   3877,   6164,   6904,   7523,   9902, 
/* msg =   3191, deg =  7 */    800,   3029,   3360,   6153,   6778,   7733,   9814, 
/* msg =   3192, deg =  7 */   1280,   2086,   3911,   5559,   7268,   7550,   9609, 
/* msg =   3193, deg =  7 */    155,   3195,   4853,   5257,   7190,   7601,   9238, 
/* msg =   3194, deg =  7 */   1556,   1895,   4882,   5739,   7078,   8207,   9439, 
/* msg =   3195, deg =  7 */   1278,   2454,   4594,   5968,   7222,   7551,   9798, 
/* msg =   3196, deg =  7 */    657,   1771,   4607,   6194,   6768,   7499,   9921, 
/* msg =   3197, deg =  7 */   1071,   1976,   4326,   6314,   7754,   7813,   9232, 
/* msg =   3198, deg =  7 */    528,   2463,   4981,   6057,   7710,   8092,   9353, 
/* msg =   3199, deg =  7 */    387,   2330,   4647,   6335,   6800,   7831,   9917, 
/* msg =   3200, deg =  7 */    738,   1814,   4586,   5102,   6712,   7846,   9744, 
/* msg =   3201, deg =  7 */    844,   2424,   4150,   5349,   6743,   8149,   9405, 
/* msg =   3202, deg =  7 */   1431,   2450,   4559,   6306,   7472,   8003,   9903, 
/* msg =   3203, deg =  7 */    933,   2588,   4365,   6182,   7081,   7618,   9671, 
/* msg =   3204, deg =  7 */   1341,   3083,   4924,   5787,   7741,   8301,   9596, 
/* msg =   3205, deg =  7 */    840,   3282,   3559,   6084,   7086,   8229,   9615, 
/* msg =   3206, deg =  7 */     64,   2509,   3796,   6044,   6700,   7730,   9243, 
/* msg =   3207, deg =  7 */     54,   2267,   3402,   5872,   6971,   7179,   9486, 
/* msg =   3208, deg =  7 */   1327,   2802,   3496,   5953,   7794,   8035,   9222, 
/* msg =   3209, deg =  7 */   1100,   2922,   4785,   5845,   7624,   7959,   9214, 
/* msg =   3210, deg =  7 */     62,   1675,   4937,   5014,   7436,   8222,   9843, 
/* msg =   3211, deg =  7 */    656,   2433,   4762,   6490,   7072,   7906,   9742, 
/* msg =   3212, deg =  7 */   1494,   1723,   3841,   5837,   6741,   6874,   9458, 
/* msg =   3213, deg =  7 */    627,   3065,   4631,   5703,   7464,   7937,   9254, 
/* msg =   3214, deg =  7 */    381,   2636,   4864,   6214,   6962,   7134,   9462, 
/* msg =   3215, deg =  7 */   1025,   2068,   3789,   6621,   6687,   8100,   9349, 
/* msg =   3216, deg =  7 */   1010,   1782,   4058,   6358,   7117,   7732,   9938, 
/* msg =   3217, deg =  7 */   1384,   3156,   4843,   6376,   6705,   8215,   9802, 
/* msg =   3218, deg =  7 */   1380,   2490,   3870,   5566,   7354,   7940,   9764, 
/* msg =   3219, deg =  7 */    322,   3215,   4466,   6514,   7103,   7334,   9923, 
/* msg =   3220, deg =  7 */   1396,   2999,   3765,   6061,   7636,   8234,   9468, 
/* msg =   3221, deg =  7 */    996,   2098,   4625,   5918,   6732,   7189,   9153, 
/* msg =   3222, deg =  7 */    614,   1744,   3785,   5506,   6956,   8157,   9223, 
/* msg =   3223, deg =  7 */   1114,   2001,   4583,   6564,   7761,   8146,   9383, 
/* msg =   3224, deg =  7 */    817,   2935,   4827,   5994,   6893,   7240,   9777, 
/* msg =   3225, deg =  7 */    947,   3062,   3385,   5020,   7294,   7309,   9363, 
/* msg =   3226, deg =  7 */    635,   2749,   4623,   6223,   7380,   8053,   9775, 
/* msg =   3227, deg =  7 */   1438,   3266,   3635,   4990,   6910,   7160,   9791, 
/* msg =   3228, deg =  7 */     92,   2527,   4455,   6398,   7274,   7322,   9610, 
/* msg =   3229, deg =  7 */   1598,   2836,   3464,   5209,   7363,   7583,   9597, 
/* msg =   3230, deg =  7 */    478,   1985,   3445,   6106,   6711,   7719,   9313, 
/* msg =   3231, deg =  7 */      3,   3019,   4549,   5486,   7535,   8258,   9839, 
/* msg =   3232, deg =  7 */   1139,   2911,   3692,   6540,   7729,   7929,   9595, 
/* msg =   3233, deg =  7 */    446,   1854,   4422,   5512,   7135,   7803,   9249, 
/* msg =   3234, deg =  7 */     56,   1890,   3840,   5941,   6814,   7643,   9954, 
/* msg =   3235, deg =  7 */    314,   2573,   3372,   6518,   6923,   6924,   9515, 
/* msg =   3236, deg =  7 */    533,   2097,   4536,   6336,   6948,   8256,   9428, 
/* msg =   3237, deg =  7 */    758,   1959,   4603,   5978,   7102,   7979,   9318, 
/* msg =   3238, deg =  7 */    977,   1800,   3390,   5782,   8118,   8297,   9782, 
/* msg =   3239, deg =  7 */   1628,   1969,   4929,   5242,   6951,   7651,   9481, 
/* msg =   3240, deg =  7 */   1551,   2538,   4323,   5843,   7519,   7604,   9358, 
/* msg =   3241, deg =  7 */   1211,   2124,   4183,   6560,   7642,   7835,   9726, 
/* msg =   3242, deg =  7 */    843,   2104,   4440,   5828,   7470,   8266,   9770, 
/* msg =   3243, deg =  7 */   1569,   2350,   3751,   5091,   8077,   8213,   9429, 
/* msg =   3244, deg =  7 */   1096,   2154,   3433,   5811,   7982,   8054,   9382, 
/* msg =   3245, deg =  7 */    423,   2564,   4772,   6298,   7466,   7995,   9928, 
/* msg =   3246, deg =  7 */    984,   1830,   4749,   5724,   7326,   8032,   9969, 
/* msg =   3247, deg =  7 */    334,   2333,   4849,   6244,   6896,   7058,   9842, 
/* msg =   3248, deg =  7 */    932,   2761,   3380,   5147,   7328,   7725,   9503, 
/* msg =   3249, deg =  7 */   1441,   2029,   4384,   6307,   7083,   8057,   9416, 
/* msg =   3250, deg =  7 */    695,   2413,   3441,   5604,   7894,   7955,   9890, 
/* msg =   3251, deg =  7 */   1589,   2960,   3454,   5530,   6766,   7592,   9859, 
/* msg =   3252, deg =  7 */    869,   1714,   4074,   6599,   8042,   8116,   9202, 
/* msg =   3253, deg =  7 */    117,   1941,   4876,   6065,   6727,   8043,   9887, 
/* msg =   3254, deg =  7 */     73,   2222,   3762,   5819,   6715,   7953,   9412, 
/* msg =   3255, deg =  7 */    485,   3016,   4616,   5039,   7051,   7183,   9689, 
/* msg =   3256, deg =  7 */     71,   2201,   3794,   6323,   7143,   7277,   9913, 
/* msg =   3257, deg =  7 */     57,   3219,   3746,   5063,   7500,   7961,   9360, 
/* msg =   3258, deg =  7 */   1452,   2526,   4497,   6209,   7256,   7588,   9203, 
/* msg =   3259, deg =  7 */   1400,   2277,   4520,   6410,   7463,   7570,   9702, 
/* msg =   3260, deg =  7 */   1616,   2409,   4792,   5555,   7650,   8285,   9617, 
/* msg =   3261, deg =  7 */    197,   2045,   3363,   5799,   7592,   7599,   9375, 
/* msg =   3262, deg =  7 */    383,   1672,   4368,   5761,   6775,   8277,   9432, 
/* msg =   3263, deg =  7 */    224,   3006,   4340,   5330,   6789,   7889,   9941, 
/* msg =   3264, deg =  7 */   1274,   2335,   3582,   5760,   6921,   8083,   9855, 
/* msg =   3265, deg =  7 */    385,   2712,   4427,   5991,   7414,   7724,   9266, 
/* msg =   3266, deg =  7 */   1606,   2991,   3956,   5444,   6938,   7007,   9509, 
/* msg =   3267, deg =  7 */   1076,   1805,   3807,   6122,   7561,   7799,   9434, 
/* msg =   3268, deg =  7 */   1151,   1884,   3851,   6056,   7934,   8240,   9174, 
/* msg =   3269, deg =  7 */    364,   2645,   4810,   5636,   7318,   7921,   9673, 
/* msg =   3270, deg =  7 */   1174,   3231,   3610,   6301,   7413,   7957,   9198, 
/* msg =   3271, deg =  7 */   1624,   3249,   4779,   5533,   7444,   7978,   9948, 
/* msg =   3272, deg =  7 */    331,   2254,   4786,   5308,   6862,   7026,   9672, 
/* msg =   3273, deg =  7 */   1429,   1995,   4869,   6353,   7820,   7876,   9227, 
/* msg =   3274, deg =  7 */    506,   2557,   4930,   5131,   7186,   7702,   9474, 
/* msg =   3275, deg =  7 */    896,   2691,   3933,   6600,   6760,   7573,   9811, 
/* msg =   3276, deg =  7 */     34,   2184,   4804,   5823,   6781,   7864,   9433, 
/* msg =   3277, deg =  7 */    565,   2555,   3913,   5077,   6802,   7930,   9368, 
/* msg =   3278, deg =  7 */   1205,   3251,   4319,   5563,   6746,   7270,   9640, 
/* msg =   3279, deg =  7 */    365,   1916,   3655,   6170,   8064,   8269,   9544, 
/* msg =   3280, deg =  7 */    768,   2745,   3906,   6227,   6840,   7542,   9354, 
/* msg =   3281, deg =  7 */    344,   2420,   4836,   6597,   7196,   7980,   9206, 
/* msg =   3282, deg =  7 */   1230,   1860,   4406,   6043,   7391,   7872,   9836, 
/* msg =   3283, deg =  7 */   1555,   2598,   4265,   5270,   7548,   7691,   9571, 
/* msg =   3284, deg =  7 */     74,   2657,   3917,   6179,   6848,   7913,   9661, 
/* msg =   3285, deg =  7 */   1554,   2431,   3756,   5167,   7471,   7768,   9149, 
/* msg =   3286, deg =  7 */    531,   2755,   4175,   6238,   7303,   8077,   9773, 
/* msg =   3287, deg =  7 */   1175,   2422,   4855,   5551,   7842,   7923,   9815, 
/* msg =   3288, deg =  7 */    264,   2238,   4461,   5469,   7242,   8040,   9922, 
/* msg =   3289, deg =  7 */    126,   2211,   3728,   6475,   7043,   7998,   9652, 
/* msg =   3290, deg =  7 */    757,   2099,   4881,   6464,   7137,   7801,   9338, 
/* msg =   3291, deg =  7 */   1037,   2905,   4411,   5725,   6769,   7903,   9929, 
/* msg =   3292, deg =  7 */    920,   2049,   4371,   5172,   7280,   8021,   9714, 
/* msg =   3293, deg =  7 */    958,   2732,   4507,   5126,   7115,   7928,   9907, 
/* msg =   3294, deg =  7 */    873,   1664,   4230,   5765,   7947,   8120,   9167, 
/* msg =   3295, deg =  7 */    442,   3295,   4274,   6320,   7000,   7030,   9825, 
/* msg =   3296, deg =  7 */    410,   2873,   4293,   5815,   7038,   7350,   9324, 
/* msg =   3297, deg =  7 */   1530,   3025,   3334,   5670,   7235,   7523,   9875, 
/* msg =   3298, deg =  7 */   1297,   2829,   4695,   6299,   6702,   7837,   9378, 
/* msg =   3299, deg =  7 */    164,   2218,   4484,   5025,   7285,   8175,   9217, 
/* msg =   3300, deg =  7 */    256,   3173,   4857,   5552,   6680,   6839,   9168, 
/* msg =   3301, deg =  7 */    821,   2125,   4105,   5352,   7239,   7797,   9421, 
/* msg =   3302, deg =  7 */   1366,   2619,   3537,   5105,   6958,   8171,   9563, 
/* msg =   3303, deg =  7 */    185,   2801,   4128,   5049,   6931,   8135,   9157, 
/* msg =   3304, deg =  7 */    602,   2035,   4877,   5647,   8063,   8112,   9471, 
/* msg =   3305, deg =  7 */     93,   2258,   3526,   6000,   6725,   7763,   9759, 
/* msg =   3306, deg =  7 */   1267,   3041,   3662,   6134,   7605,   7738,   9252, 
/* msg =   3307, deg =  7 */   1223,   2972,   4238,   5546,   7172,   8167,   9606, 
/* msg =   3308, deg =  7 */    216,   2872,   3652,   6200,   6805,   8104,   9877, 
/* msg =   3309, deg =  7 */   1369,   2042,   3509,   6189,   7808,   8194,   9304, 
/* msg =   3310, deg =  7 */    125,   2189,   4738,   6171,   7450,   7842,   9947, 
/* msg =   3311, deg =  7 */    447,   1947,   4525,   5895,   7991,   8219,   9316, 
/* msg =   3312, deg =  7 */    349,   3238,   4725,   5216,   6713,   7241,   9636, 
/* msg =   3313, deg =  7 */    858,   2464,   3563,   5219,   7545,   7786,   9490, 
/* msg =   3314, deg =  7 */   1302,   1964,   4667,   5224,   8173,   8199,   9658, 
/* msg =   3315, deg =  7 */   1052,   1667,   3588,   6259,   7373,   8145,   9478, 
/* msg =   3316, deg =  7 */    501,   2635,   4973,   5340,   7223,   8251,   9725, 
/* msg =   3317, deg =  7 */    309,   3095,   3681,   6476,   6742,   6961,   9666, 
/* msg =   3318, deg =  7 */    190,   3185,   3779,   6252,   6994,   8195,   9163, 
/* msg =   3319, deg =  7 */   1101,   3023,   3961,   6037,   6663,   6980,   9914, 
/* msg =   3320, deg =  7 */   1307,   3109,   3641,   5457,   7208,   7984,   9447, 
/* msg =   3321, deg =  7 */    429,   2971,   4918,   5234,   7698,   7796,   9858, 
/* msg =   3322, deg =  7 */   1200,   2750,   4957,   5122,   7458,   8068,   9519, 
/* msg =   3323, deg =  7 */   1180,   2353,   3996,   6013,   7589,   8190,   9233, 
/* msg =   3324, deg =  7 */   1520,   2204,   4218,   6181,   6244,   6993,   9134, 
/* msg =   3325, deg =  7 */   1213,   2930,   3360,   5626,   5675,   7748,   9029, 
/* msg =   3326, deg =  7 */   1056,   1870,   4487,   5489,   5880,   7285,   9058, 
/* msg =   3327, deg =  7 */    749,   3064,   4516,   5938,   6339,   7185,   8787, 
/* msg =   3328, deg =  7 */     71,   2383,   4583,   5711,   5997,   8043,   8868, 
/* msg =   3329, deg =  7 */    522,   1768,   3939,   5565,   6369,   7897,   9028, 
/* msg =   3330, deg =  7 */   1419,   2272,   4523,   5154,   6003,   7315,   8357, 
/* msg =   3331, deg =  7 */   1278,   2809,   3655,   6189,   6280,   7042,   8590, 
/* msg =   3332, deg =  7 */   1609,   2085,   4026,   5242,   5682,   6692,   8517, 
/* msg =   3333, deg =  7 */    207,   1999,   3787,   6197,   6381,   7551,   8806, 
/* msg =   3334, deg =  7 */    672,   2538,   3816,   5582,   6619,   8081,   9104, 
/* msg =   3335, deg =  7 */    600,   2587,   4790,   5578,   6446,   6705,   8741, 
/* msg =   3336, deg =  7 */    808,   1705,   4428,   6301,   6580,   7288,   8854, 
/* msg =   3337, deg =  7 */   1017,   2431,   4535,   5120,   5756,   8109,   8968, 
/* msg =   3338, deg =  7 */   1495,   2525,   4912,   5028,   6262,   7850,   8964, 
/* msg =   3339, deg =  7 */    399,   2511,   3688,   5169,   5176,   8034,   8379, 
/* msg =   3340, deg =  7 */   1361,   2774,   3509,   6143,   6324,   6650,   8462, 
/* msg =   3341, deg =  7 */   1356,   2094,   4886,   5729,   5830,   8100,   8414, 
/* msg =   3342, deg =  7 */   1159,   1978,   4824,   5422,   5673,   8276,   8911, 
/* msg =   3343, deg =  7 */   1465,   3180,   4184,   5222,   6472,   7010,   8799, 
/* msg =   3344, deg =  7 */   1471,   2064,   3523,   5109,   6237,   7846,   8826, 
/* msg =   3345, deg =  7 */    712,   2861,   3680,   5195,   5930,   7591,   9047, 
/* msg =   3346, deg =  7 */   1007,   3111,   4333,   5113,   6315,   7559,   8984, 
/* msg =   3347, deg =  7 */    513,   2212,   4418,   5204,   5422,   7133,   8579, 
/* msg =   3348, deg =  7 */    135,   1987,   3924,   5731,   5844,   7086,   8951, 
/* msg =   3349, deg =  7 */   1231,   3207,   4414,   5246,   5665,   7550,   8660, 
/* msg =   3350, deg =  7 */    184,   2607,   3610,   6220,   6624,   7115,   8334, 
/* msg =   3351, deg =  7 */   1024,   2024,   3409,   5860,   6392,   6740,   8730, 
/* msg =   3352, deg =  7 */   1092,   2759,   3803,   5715,   5826,   8045,   8475, 
/* msg =   3353, deg =  7 */    763,   3052,   3979,   5965,   6514,   7998,   8387, 
/* msg =   3354, deg =  7 */    651,   3241,   4402,   6110,   6595,   8255,   8485, 
/* msg =   3355, deg =  7 */    708,   2727,   4145,   5146,   6319,   7618,   8488, 
/* msg =   3356, deg =  7 */   1081,   1806,   4615,   5982,   6295,   7351,   8371, 
/* msg =   3357, deg =  7 */   1172,   2084,   4018,   6006,   6400,   8207,   8971, 
/* msg =   3358, deg =  7 */    370,   2812,   3636,   5508,   5528,   7236,   8906, 
/* msg =   3359, deg =  7 */    505,   1938,   3832,   6182,   6186,   7090,   8940, 
/* msg =   3360, deg =  7 */    314,   3222,   4604,   5307,   5642,   7992,   8321, 
/* msg =   3361, deg =  7 */    850,   2548,   3931,   6106,   6389,   6975,   8355, 
/* msg =   3362, deg =  7 */   1147,   1793,   4443,   5003,   5530,   6833,   8600, 
/* msg =   3363, deg =  7 */   1549,   1758,   4340,   5717,   5877,   8248,   8520, 
/* msg =   3364, deg =  7 */     33,   2819,   4188,   5558,   5721,   8106,   8933, 
/* msg =   3365, deg =  7 */    320,   2300,   4593,   6456,   6543,   7237,   8909, 
/* msg =   3366, deg =  7 */    903,   2744,   3564,   5165,   6603,   8149,   8794, 
/* msg =   3367, deg =  7 */     82,   2494,   4904,   5712,   6614,   7286,   8331, 
/* msg =   3368, deg =  7 */   1530,   2211,   4982,   6014,   6116,   7557,   8770, 
/* msg =   3369, deg =  7 */   1011,   2958,   4908,   5124,   5608,   7656,   9131, 
/* msg =   3370, deg =  7 */    854,   2612,   3793,   5337,   5629,   8175,   8651, 
/* msg =   3371, deg =  7 */   1656,   3042,   4851,   5509,   5899,   7234,   8350, 
/* msg =   3372, deg =  7 */    963,   3140,   3673,   6000,   6524,   6795,   8753, 
/* msg =   3373, deg =  7 */    285,   2123,   3528,   5948,   6508,   7022,   8681, 
/* msg =   3374, deg =  7 */    132,   2748,   3941,   6459,   6605,   7662,   8848, 
/* msg =   3375, deg =  7 */    975,   1755,   3664,   6449,   6469,   7147,   8644, 
/* msg =   3376, deg =  7 */   1032,   2967,   3909,   5730,   6219,   6829,   8403, 
/* msg =   3377, deg =  7 */    632,   2225,   3756,   6058,   6372,   7839,   8998, 
/* msg =   3378, deg =  7 */    932,   2017,   3771,   5672,   6177,   7583,   8923, 
/* msg =   3379, deg =  7 */    832,   1798,   3984,   5556,   6393,   7669,   8922, 
/* msg =   3380, deg =  7 */    886,   2066,   4524,   4997,   5589,   7284,   8928, 
/* msg =   3381, deg =  7 */    731,   3189,   3425,   5608,   6512,   7658,   8482, 
/* msg =   3382, deg =  7 */    234,   3172,   4836,   5398,   6360,   7330,   8729, 
/* msg =   3383, deg =  7 */   1226,   1943,   3806,   5599,   5803,   7295,   8620, 
/* msg =   3384, deg =  7 */    143,   2577,   3889,   5024,   6181,   7650,   8817, 
/* msg =   3385, deg =  7 */    460,   2479,   3476,   5791,   6445,   7345,   9017, 
/* msg =   3386, deg =  7 */   1285,   1784,   3991,   5528,   6355,   7070,   8935, 
/* msg =   3387, deg =  7 */     31,   2687,   4559,   5218,   5442,   6862,   9117, 
/* msg =   3388, deg =  7 */   1175,   3318,   4274,   5064,   6064,   6989,   8678, 
/* msg =   3389, deg =  7 */     67,   3313,   3849,   5138,   6504,   7589,   8759, 
/* msg =   3390, deg =  7 */    450,   3252,   3831,   5210,   6220,   7645,   8797, 
/* msg =   3391, deg =  7 */   1638,   1880,   4894,   6156,   6242,   7156,   8635, 
/* msg =   3392, deg =  7 */   1083,   2504,   4297,   5021,   6118,   7786,   8957, 
/* msg =   3393, deg =  7 */   1059,   2644,   4638,   6176,   6480,   7758,   9052, 
/* msg =   3394, deg =  7 */    276,   2853,   3875,   5088,   6584,   7676,   8340, 
/* msg =   3395, deg =  7 */     43,   2463,   4369,   6128,   6414,   7189,   8598, 
/* msg =   3396, deg =  7 */    244,   1821,   3408,   5116,   6366,   6656,   8470, 
/* msg =   3397, deg =  7 */    999,   1674,   3357,   6092,   6316,   8247,   9030, 
/* msg =   3398, deg =  7 */   1420,   2903,   4716,   5110,   5404,   7289,   8831, 
/* msg =   3399, deg =  7 */   1386,   1962,   4119,   5326,   5811,   7451,   9124, 
/* msg =   3400, deg =  7 */   1183,   2792,   3792,   5529,   6332,   7371,   8447, 
/* msg =   3401, deg =  7 */   1123,   2543,   4924,   6341,   6510,   8074,   8440, 
/* msg =   3402, deg =  7 */    914,   1898,   4827,   5193,   5805,   7129,   8937, 
/* msg =   3403, deg =  7 */   1009,   2430,   4183,   5655,   6234,   6854,   8505, 
/* msg =   3404, deg =  7 */   1146,   2351,   3796,   5612,   5918,   7885,   8700, 
/* msg =   3405, deg =  7 */    986,   1911,   4656,   5396,   6302,   7952,   8708, 
/* msg =   3406, deg =  7 */    134,   3285,   3367,   4987,   5898,   6792,   8772, 
/* msg =   3407, deg =  7 */   1023,   2366,   3868,   5963,   6611,   8021,   9011, 
/* msg =   3408, deg =  7 */    806,   3239,   4344,   6179,   6298,   6802,   9012, 
/* msg =   3409, deg =  7 */   1125,   2335,   4544,   6330,   6552,   7338,   8430, 
/* msg =   3410, deg =  7 */    978,   1757,   3667,   5269,   6647,   7245,   8728, 
/* msg =   3411, deg =  7 */    919,   2276,   4893,   5024,   6383,   7955,   8959, 
/* msg =   3412, deg =  7 */   1344,   1919,   3937,   6066,   6197,   7045,   9116, 
/* msg =   3413, deg =  7 */    757,   2507,   3996,   6044,   6151,   7733,   9089, 
/* msg =   3414, deg =  7 */   1486,   3120,   3721,   5533,   6417,   8020,   8552, 
/* msg =   3415, deg =  7 */    541,   2573,   4373,   5396,   6341,   7184,   8833, 
/* msg =   3416, deg =  7 */   1167,   3315,   4699,   5490,   5621,   7383,   8990, 
/* msg =   3417, deg =  7 */     89,   1812,   4121,   5076,   6452,   7712,   8353, 
/* msg =   3418, deg =  7 */    582,   2832,   3579,   5469,   5605,   7609,   9107, 
/* msg =   3419, deg =  7 */   1651,   3308,   3562,   5125,   5707,   7190,   8883, 
/* msg =   3420, deg =  7 */   1514,   1791,   4363,   5402,   6223,   7056,   9113, 
/* msg =   3421, deg =  7 */   1602,   2139,   3349,   5671,   6433,   8171,   8808, 
/* msg =   3422, deg =  7 */    495,   1949,   3411,   5320,   6498,   7620,   9094, 
/* msg =   3423, deg =  7 */    782,   2640,   3933,   5450,   5525,   7142,   8733, 
/* msg =   3424, deg =  7 */    735,   3072,   4723,   5846,   6141,   8237,   9077, 
/* msg =   3425, deg =  7 */    795,   1989,   4305,   5808,   5836,   7594,   8549, 
/* msg =   3426, deg =  7 */    984,   2503,   3445,   5052,   6599,   6934,   8871, 
/* msg =   3427, deg =  7 */    748,   2887,   3962,   5831,   6404,   7421,   8767, 
/* msg =   3428, deg =  7 */    266,   2157,   3874,   5412,   6644,   7382,   8395, 
/* msg =   3429, deg =  7 */    997,   2779,   4963,   5043,   5831,   6765,   9033, 
/* msg =   3430, deg =  7 */    738,   1671,   3897,   6056,   6629,   8126,   8816, 
/* msg =   3431, deg =  7 */    918,   3247,   4234,   5583,   5959,   7440,   8359, 
/* msg =   3432, deg =  7 */    959,   2132,   4636,   5122,   6144,   7800,   8437, 
/* msg =   3433, deg =  7 */    477,   1825,   3930,   6109,   6144,   6834,   8510, 
/* msg =   3434, deg =  7 */    562,   1868,   3880,   6303,   6337,   7936,   8467, 
/* msg =   3435, deg =  7 */   1309,   2400,   4706,   5028,   6000,   7632,   8811, 
/* msg =   3436, deg =  7 */    430,   3044,   4263,   5391,   5678,   8131,   8839, 
/* msg =   3437, deg =  7 */   1255,   2921,   4727,   6325,   6632,   7854,   8952, 
/* msg =   3438, deg =  7 */     49,   2077,   4427,   5301,   5596,   7160,   8453, 
/* msg =   3439, deg =  7 */   1447,   3032,   4047,   5818,   5915,   7172,   8442, 
/* msg =   3440, deg =  7 */   1509,   2316,   3913,   5937,   6419,   6755,   8652, 
/* msg =   3441, deg =  7 */    630,   2850,   4087,   5006,   5015,   7341,   9034, 
/* msg =   3442, deg =  7 */    879,   3097,   3871,   5963,   6537,   7920,   9048, 
/* msg =   3443, deg =  7 */    123,   1902,   4961,   5733,   6139,   7502,   9005, 
/* msg =   3444, deg =  7 */   1068,   3177,   4536,   5265,   6313,   7325,   9080, 
/* msg =   3445, deg =  7 */    188,   1815,   4033,   5055,   5731,   7153,   9078, 
/* msg =   3446, deg =  7 */   1119,   3192,   3456,   5646,   6635,   6927,   8431, 
/* msg =   3447, deg =  7 */    404,   3045,   4037,   5147,   6100,   7173,   8860, 
/* msg =   3448, deg =  7 */    938,   3264,   3978,   5675,   5894,   7410,   8744, 
/* msg =   3449, deg =  7 */   1633,   2959,   3777,   5204,   6133,   6996,   8987, 
/* msg =   3450, deg =  7 */    624,   2399,   4123,   5141,   5574,   7836,   8745, 
/* msg =   3451, deg =  7 */    472,   1892,   3791,   6213,   6454,   6671,   8591, 
/* msg =   3452, deg =  7 */    656,   1839,   3385,   5048,   6496,   7519,   8457, 
/* msg =   3453, deg =  7 */    144,   2114,   4585,   5339,   5524,   7718,   8743, 
/* msg =   3454, deg =  7 */   1413,   2126,   3395,   5887,   5916,   7294,   8439, 
/* msg =   3455, deg =  7 */   1261,   3168,   4061,   5382,   6221,   7950,   8611, 
/* msg =   3456, deg =  7 */   1294,   2662,   4657,   5123,   5763,   7963,   8423, 
/* msg =   3457, deg =  7 */   1597,   3110,   4136,   5193,   5317,   7476,   9060, 
/* msg =   3458, deg =  7 */   1181,   1788,   4023,   6396,   6624,   7026,   9137, 
/* msg =   3459, deg =  7 */    229,   2805,   4750,   5080,   5744,   6700,   8595, 
/* msg =   3460, deg =  7 */   1138,   3133,   4942,   5303,   6580,   7829,   8671, 
/* msg =   3461, deg =  7 */   1041,   1779,   4609,   6382,   6447,   7809,   8996, 
/* msg =   3462, deg =  7 */    177,   2658,   4754,   6358,   6373,   6757,   8316, 
/* msg =   3463, deg =  7 */    605,   2441,   4262,   5290,   5353,   6876,   8673, 
/* msg =   3464, deg =  7 */    653,   2181,   4244,   6145,   6457,   8054,   9118, 
/* msg =   3465, deg =  7 */   1222,   3019,   4930,   5216,   5478,   7546,   8634, 
/* msg =   3466, deg =  7 */   1127,   2834,   4303,   5635,   6429,   8039,   8619, 
/* msg =   3467, deg =  7 */   1160,   2264,   4565,   5173,   5668,   8242,   8535, 
/* msg =   3468, deg =  7 */   1348,   2737,   4166,   5153,   5952,   7458,   8983, 
/* msg =   3469, deg =  7 */   1345,   2599,   4146,   6157,   6292,   6973,   8322, 
/* msg =   3470, deg =  7 */    686,   2650,   3633,   5033,   5150,   6751,   8318, 
/* msg =   3471, deg =  7 */    529,   2447,   4645,   5487,   5919,   7776,   8685, 
/* msg =   3472, deg =  7 */   1112,   1814,   3718,   5778,   5921,   6857,   8499, 
/* msg =   3473, deg =  7 */    296,   2220,   4855,   5115,   6174,   6850,   8328, 
/* msg =   3474, deg =  7 */   1080,   1901,   4931,   5569,   6053,   6883,   9101, 
/* msg =   3475, deg =  7 */   1395,   1939,   4707,   5506,   6572,   7543,   8758, 
/* msg =   3476, deg =  7 */     92,   1986,   4979,   6060,   6275,   8154,   8538, 
/* msg =   3477, deg =  7 */   1569,   1897,   3361,   5117,   6347,   7754,   8803, 
/* msg =   3478, deg =  7 */     96,   1849,   4600,   6204,   6544,   7784,   8610, 
/* msg =   3479, deg =  7 */    443,   1878,   3990,   5011,   5212,   8128,   8539, 
/* msg =   3480, deg =  7 */   1027,   1838,   3656,   5415,   6594,   6695,   8717, 
/* msg =   3481, deg =  7 */    657,   1975,   4299,   5006,   5890,   7642,   8571, 
/* msg =   3482, deg =  7 */    116,   2063,   4271,   6071,   6284,   7480,   8944, 
/* msg =   3483, deg =  7 */    844,   2597,   4148,   5505,   6367,   7021,   9110, 
/* msg =   3484, deg =  7 */    790,   3129,   3966,   6125,   6251,   6831,   8486, 
/* msg =   3485, deg =  7 */   1421,   2076,   3654,   5904,   6638,   6769,   8703, 
/* msg =   3486, deg =  7 */   1136,   2734,   4178,   5408,   6073,   6827,   8456, 
/* msg =   3487, deg =  7 */   1416,   2373,   4212,   6023,   6501,   8186,   8669, 
/* msg =   3488, deg =  7 */    887,   1792,   4425,   5475,   5802,   7339,   8433, 
/* msg =   3489, deg =  7 */    182,   1974,   3679,   5832,   5883,   6937,   8537, 
/* msg =   3490, deg =  7 */     21,   3020,   4440,   6158,   6563,   7934,   8471, 
/* msg =   3491, deg =  7 */    521,   1813,   3532,   5917,   6136,   7980,   8528, 
/* msg =   3492, deg =  7 */   1022,   3105,   3490,   5101,   6600,   8102,   9128, 
/* msg =   3493, deg =  7 */    840,   2940,   3583,   5309,   6058,   7317,   8574, 
/* msg =   3494, deg =  7 */   1137,   2086,   4628,   6306,   6317,   6655,   8718, 
/* msg =   3495, deg =  7 */   1143,   2547,   4471,   5207,   6030,   8052,   8603, 
/* msg =   3496, deg =  7 */   1069,   3277,   4602,   5922,   6210,   6657,   9064, 
/* msg =   3497, deg =  7 */    282,   2869,   4805,   5490,   6196,   6885,   8450, 
/* msg =   3498, deg =  7 */    289,   2593,   4268,   5132,   6484,   7901,   8904, 
/* msg =   3499, deg =  7 */   1204,   1675,   4455,   5170,   5605,   6909,   8997, 
/* msg =   3500, deg =  7 */    635,   1985,   3769,   5041,   5126,   7571,   8931, 
/* msg =   3501, deg =  7 */     68,   3059,   3957,   5572,   6052,   6872,   8722, 
/* msg =   3502, deg =  7 */    378,   2231,   4473,   5240,   6363,   6839,   8416, 
/* msg =   3503, deg =  7 */    247,   1996,   4249,   5336,   6401,   7037,   9038, 
/* msg =   3504, deg =  7 */   1661,   3293,   3956,   5609,   6019,   7742,   8702, 
/* msg =   3505, deg =  7 */   1296,   3104,   3595,   5581,   6122,   6721,   9121, 
/* msg =   3506, deg =  7 */    870,   1823,   4376,   5198,   6042,   6798,   9114, 
/* msg =   3507, deg =  7 */    313,   3232,   3881,   5737,   6591,   7012,   8789, 
/* msg =   3508, deg =  7 */    864,   2321,   4901,   5499,   5740,   7710,   8736, 
/* msg =   3509, deg =  7 */    487,   1739,   4672,   5148,   5218,   7538,   8521, 
/* msg =   3510, deg =  7 */      5,   2943,   4890,   6456,   6473,   6910,   8509, 
/* msg =   3511, deg =  7 */   1556,   2695,   3766,   5350,   6486,   8206,   8393, 
/* msg =   3512, deg =  7 */    233,   1829,   4596,   6008,   6295,   7165,   8967, 
/* msg =   3513, deg =  7 */    400,   3053,   3392,   5329,   6223,   7877,   9140, 
/* msg =   3514, deg =  7 */   1567,   3202,   3768,   5333,   6645,   6846,   8805, 
/* msg =   3515, deg =  7 */    371,   2315,   4597,   5782,   6076,   6959,   8784, 
/* msg =   3516, deg =  7 */    842,   2358,   4071,   5516,   6441,   7000,   9085, 
/* msg =   3517, deg =  7 */   1330,   2533,   4726,   5727,   5932,   6976,   8418, 
/* msg =   3518, deg =  7 */   1586,   2896,   4920,   5444,   6439,   6822,   8807, 
/* msg =   3519, deg =  7 */    779,   3066,   3669,   5345,   6096,   7695,   8368, 
/* msg =   3520, deg =  7 */     75,   2439,   4495,   5215,   5697,   7513,   8507, 
/* msg =   3521, deg =  7 */   1104,   3244,   4272,   5161,   5291,   7353,   8917, 
/* msg =   3522, deg =  7 */    889,   3095,   4140,   6236,   6621,   7226,   9007, 
/* msg =   3523, deg =  7 */   1543,   2438,   3472,   5159,   5791,   6662,   8311, 
/* msg =   3524, deg =  7 */    874,   2956,   3920,   5091,   6340,   7058,   8953, 
/* msg =   3525, deg =  7 */   1265,   2121,   4985,   5302,   5380,   8202,   8882, 
/* msg =   3526, deg =  7 */   1601,   1883,   4703,   5118,   6093,   6734,   8400, 
/* msg =   3527, deg =  7 */    979,   3296,   4677,   6009,   6402,   7167,   8527, 
/* msg =   3528, deg =  7 */   1605,   2488,   4429,   5066,   6356,   6869,   8834, 
/* msg =   3529, deg =  7 */   1189,   2347,   4807,   5386,   5615,   6745,   8531, 
/* msg =   3530, deg =  7 */    185,   2996,   4156,   6560,   6597,   6977,   9056, 
/* msg =   3531, deg =  7 */    367,   1772,   4388,   5337,   6112,   6884,   8584, 
/* msg =   3532, deg =  7 */     10,   3280,   4521,   5873,   6187,   7647,   8674, 
/* msg =   3533, deg =  7 */    365,   1980,   4764,   5187,   5447,   7355,   9049, 
/* msg =   3534, deg =  7 */   1373,   3130,   4341,   5679,   6049,   7913,   8422, 
/* msg =   3535, deg =  7 */   1126,   3061,   3358,   5523,   5779,   7765,   8640, 
/* msg =   3536, deg =  7 */    113,   2645,   3770,   5504,   5992,   7872,   8586, 
/* msg =   3537, deg =  7 */   1467,   1724,   4832,   5264,   6466,   7876,   8641, 
/* msg =   3538, deg =  7 */     58,   1741,   3399,   5690,   6090,   6712,   8965, 
/* msg =   3539, deg =  7 */    439,   2846,   4444,   5640,   6297,   7044,   8754, 
/* msg =   3540, deg =  7 */    956,   2828,   3435,   4994,   6544,   8162,   8319, 
/* msg =   3541, deg =  7 */    828,   2427,   3415,   6046,   6119,   8073,   9014, 
/* msg =   3542, deg =  7 */    369,   2975,   4022,   5653,   5893,   7822,   8390, 
/* msg =   3543, deg =  7 */   1376,   2556,   4235,   5579,   5853,   7670,   8622, 
/* msg =   3544, deg =  7 */    661,   2142,   4464,   5964,   6180,   6761,   8960, 
/* msg =   3545, deg =  7 */    161,   1970,   4823,   5419,   6365,   7141,   8504, 
/* msg =   3546, deg =  7 */    941,   2199,   3749,   5273,   5882,   8011,   8406, 
/* msg =   3547, deg =  7 */    908,   2476,   4254,   5338,   5985,   7756,   8712, 
/* msg =   3548, deg =  7 */    335,   2100,   3681,   5554,   5850,   7693,   8592, 
/* msg =   3549, deg =  7 */    788,   2028,   3704,   5472,   5757,   8249,   8731, 
/* msg =   3550, deg =  7 */   1384,   2755,   4368,   5102,   6218,   6832,   8466, 
/* msg =   3551, deg =  7 */   1062,   2635,   4300,   5582,   6013,   7975,   9096, 
/* msg =   3552, deg =  7 */    215,   3154,   3410,   5554,   6432,   7249,   9072, 
/* msg =   3553, deg =  7 */    893,   2072,   4458,   5463,   5771,   7766,   8545, 
/* msg =   3554, deg =  7 */    668,   3012,   3390,   5354,   5747,   7216,   8662, 
/* msg =   3555, deg =  7 */   1415,   3322,   3993,   5360,   5708,   7810,   8602, 
/* msg =   3556, deg =  7 */    222,   2022,   4130,   5194,   5624,   7356,   8918, 
/* msg =   3557, deg =  7 */    569,   2429,   3478,   5213,   5686,   7989,   9083, 
/* msg =   3558, deg =  7 */    459,   2280,   4631,   5270,   5364,   8259,   8815, 
/* msg =   3559, deg =  7 */   1082,   2684,   4983,   5188,   6322,   7463,   8483, 
/* msg =   3560, deg =  7 */   1577,   1690,   3686,   5686,   6013,   7624,   8981, 
/* msg =   3561, deg =  7 */   1406,   2305,   4813,   5672,   6212,   7253,   8436, 
/* msg =   3562, deg =  7 */   1196,   2949,   3550,   5559,   5774,   7921,   8370, 
/* msg =   3563, deg =  7 */    107,   1826,   4796,   5376,   5477,   8064,   8769, 
/* msg =   3564, deg =  7 */   1319,   2012,   4433,   6082,   6586,   8040,   8621, 
/* msg =   3565, deg =  7 */    897,   1676,   4323,   6499,   6623,   6978,   8795, 
/* msg =   3566, deg =  7 */    488,   2101,   3676,   5550,   6408,   7412,   8410, 
/* msg =   3567, deg =  7 */   1269,   2966,   3842,   6239,   6307,   6791,   8372, 
/* msg =   3568, deg =  7 */   1435,   3031,   3853,   5387,   5597,   8277,   8925, 
/* msg =   3569, deg =  7 */    652,   2818,   4097,   5695,   6248,   8001,   8725, 
/* msg =   3570, deg =  7 */    947,   2437,   4696,   5414,   5706,   7526,   8551, 
/* msg =   3571, deg =  7 */    346,   2937,   4880,   5005,   6189,   6916,   8899, 
/* msg =   3572, deg =  7 */    452,   3062,   3587,   5394,   5762,   8221,   9100, 
/* msg =   3573, deg =  7 */    586,   2909,   4245,   5069,   6645,   6902,   9013, 
/* msg =   3574, deg =  7 */   1466,   2831,   4871,   5000,   5739,   8240,   8948, 
/* msg =   3575, deg =  7 */    238,   2364,   3464,   5119,   6296,   8299,   8668, 
/* msg =   3576, deg =  7 */     63,   3073,   3444,   5339,   6248,   6812,   9109, 
/* msg =   3577, deg =  7 */   1363,   2992,   3354,   5234,   5882,   7961,   8768, 
/* msg =   3578, deg =  7 */    928,   3005,   3535,   5107,   5667,   7660,   8880, 
/* msg =   3579, deg =  7 */   1645,   2111,   4169,   6424,   6573,   6739,   8332, 
/* msg =   3580, deg =  7 */    762,   2124,   3488,   5171,   5650,   7347,   8397, 
/* msg =   3581, deg =  7 */     79,   3163,   3540,   5713,   6587,   8309,   8969, 
/* msg =   3582, deg =  7 */    910,   2874,   4905,   5985,   6468,   7874,   8926, 
/* msg =   3583, deg =  7 */    532,   2723,   4643,   5563,   6508,   7411,   8867, 
/* msg =   3584, deg =  7 */    942,   3306,   4688,   5603,   5789,   6764,   8354, 
/* msg =   3585, deg =  7 */   1073,   2891,   4625,   5371,   6607,   7114,   8962, 
/* msg =   3586, deg =  7 */   1434,   1789,   4841,   5641,   6646,   7499,   8844, 
/* msg =   3587, deg =  7 */    315,   2490,   4686,   5697,   6393,   8047,   8412, 
/* msg =   3588, deg =  7 */   1639,   2097,   3725,   5010,   6025,   6709,   9136, 
/* msg =   3589, deg =  7 */   1616,   3090,   4641,   5174,   5533,   6704,   9090, 
/* msg =   3590, deg =  7 */    273,   2875,   4459,   6432,   6542,   6678,   8812, 
/* msg =   3591, deg =  7 */    358,   1819,   4467,   5777,   6012,   8048,   8709, 
/* msg =   3592, deg =  7 */    617,   2143,   4083,   5375,   5859,   7472,   8653, 
/* msg =   3593, deg =  7 */   1557,   1726,   4224,   5399,   5506,   7088,   8451, 
/* msg =   3594, deg =  7 */   1046,   1851,   4520,   5621,   5636,   7091,   8913, 
/* msg =   3595, deg =  7 */    680,   3047,   3525,   6131,   6593,   7171,   8895, 
/* msg =   3596, deg =  7 */    351,   1862,   3726,   5378,   5705,   8295,   8377, 
/* msg =   3597, deg =  7 */    347,   2363,   4206,   5127,   5951,   8230,   8879, 
/* msg =   3598, deg =  7 */   1206,   2496,   3627,   5688,   6535,   7664,   8832, 
/* msg =   3599, deg =  7 */   1374,   1805,   4702,   5098,   5732,   7984,   8417, 
/* msg =   3600, deg =  7 */    251,   2369,   4799,   5209,   5504,   7823,   9023, 
/* msg =   3601, deg =  7 */    775,   1921,   4179,   5505,   6509,   7232,   8515, 
/* msg =   3602, deg =  7 */    294,   2370,   4013,   5347,   6142,   8158,   8388, 
/* msg =   3603, deg =  7 */    322,   1680,   4922,   5502,   6495,   7251,   8444, 
/* msg =   3604, deg =  7 */     25,   2915,   4163,   5642,   6558,   7572,   8581, 
/* msg =   3605, deg =  7 */    696,   2797,   3732,   5703,   6018,   7508,   8560, 
/* msg =   3606, deg =  7 */    954,   2505,   4640,   5100,   6031,   7681,   8898, 
/* msg =   3607, deg =  7 */   1202,   3183,   3599,   5765,   6152,   7949,   8970, 
/* msg =   3608, deg =  7 */    628,   2617,   4230,   5598,   5837,   8263,   9035, 
/* msg =   3609, deg =  7 */    512,   2170,   3370,   5014,   5462,   6736,   8420, 
/* msg =   3610, deg =  7 */    109,   2516,   4126,   5571,   5926,   7744,   8855, 
/* msg =   3611, deg =  7 */    598,   2740,   3393,   5507,   6592,   8069,   8569, 
/* msg =   3612, deg =  7 */    751,   2239,   4031,   5498,   6047,   7889,   8783, 
/* msg =   3613, deg =  7 */    929,   2897,   4446,   5313,   6398,   7817,   9091, 
/* msg =   3614, deg =  7 */   1450,   2079,   4591,   5023,   5333,   8024,   9069, 
/* msg =   3615, deg =  7 */   1603,   2757,   4372,   6104,   6205,   8010,   8429, 
/* msg =   3616, deg =  7 */   1462,   2565,   4194,   5735,   5880,   7608,   8945, 
/* msg =   3617, deg =  7 */    261,   2883,   4295,   5656,   5901,   7769,   8533, 
/* msg =   3618, deg =  7 */    638,   2237,   4199,   5045,   5872,   7248,   8366, 
/* msg =   3619, deg =  7 */    543,   2752,   3968,   5818,   6001,   7357,   8985, 
/* msg =   3620, deg =  7 */    417,   2450,   4312,   5200,   5522,   6847,   8955, 
/* msg =   3621, deg =  7 */   1532,   1879,   3569,   5282,   6532,   8271,   8859, 
/* msg =   3622, deg =  7 */    666,   2692,   3751,   5553,   5637,   7535,   8714, 
/* msg =   3623, deg =  7 */   1430,   3112,   4279,   5547,   6279,   6684,   8716, 
/* msg =   3624, deg =  7 */    383,   2534,   4358,   5564,   6539,   7007,   8419, 
/* msg =   3625, deg =  7 */   1303,   2498,   3407,   5488,   5821,   7602,   8327, 
/* msg =   3626, deg =  7 */    566,   2040,   4028,   5463,   6404,   7340,   9050, 
/* msg =   3627, deg =  7 */    813,   2416,   4233,   5113,   6557,   6983,   8613, 
/* msg =   3628, deg =  7 */   1026,   2332,   4866,   5575,   5743,   6808,   8426, 
/* msg =   3629, deg =  7 */     88,   2609,   4563,   5254,   6285,   7640,   8580, 
/* msg =   3630, deg =  7 */    139,   1734,   4196,   5588,   5693,   7073,   8408, 
/* msg =   3631, deg =  7 */   1107,   2352,   3614,   5091,   5343,   7856,   9082, 
/* msg =   3632, deg =  7 */    255,   2626,   4594,   5173,   5197,   8075,   8988, 
/* msg =   3633, deg =  7 */   1623,   2900,   3570,   5014,   5230,   8004,   8626, 
/* msg =   3634, deg =  7 */     60,   1685,   4622,   5957,   6225,   8197,   8636, 
/* msg =   3635, deg =  7 */   1089,   2432,   3758,   5338,   6582,   7199,   8873, 
/* msg =   3636, deg =  7 */    646,   3205,   4947,   5949,   6150,   7350,   8360, 
/* msg =   3637, deg =  7 */   1033,   1694,   4124,   5749,   5992,   7910,   8341, 
/* msg =   3638, deg =  7 */   1643,   1747,   4822,   5465,   5908,   6840,   9065, 
/* msg =   3639, deg =  7 */    550,   2227,   4835,   5430,   5729,   7931,   8946, 
/* msg =   3640, deg =  7 */   1031,   2284,   3601,   5790,   6041,   6941,   8961, 
/* msg =   3641, deg =  7 */   1580,   2952,   4958,   6474,   6607,   7420,   8347, 
/* msg =   3642, deg =  7 */   1625,   3269,   4009,   5725,   5974,   7038,   8365, 
/* msg =   3643, deg =  7 */   1508,   3184,   4173,   5156,   5976,   7838,   8524, 
/* msg =   3644, deg =  7 */    936,   2046,   4367,   5144,   6246,   7055,   8369, 
/* msg =   3645, deg =  7 */    618,   2667,   4232,   5238,   5830,   7415,   8801, 
/* msg =   3646, deg =  7 */    401,   2201,   4134,   5122,   6583,   7671,   9071, 
/* msg =   3647, deg =  7 */    503,   3225,   3511,   5260,   5379,   7127,   8938, 
/* msg =   3648, deg =  7 */   1054,   2964,   4315,   5577,   5587,   6879,   8676, 
/* msg =   3649, deg =  7 */    583,   2545,   3826,   5453,   5962,   6887,   9084, 
/* msg =   3650, deg =  7 */    610,   1716,   4527,   5958,   6206,   7909,   8315, 
/* msg =   3651, deg =  7 */   1579,   2683,   4054,   5486,   6377,   6856,   8425, 
/* msg =   3652, deg =  7 */   1053,   1746,   3646,   5869,   5903,   7369,   8989, 
/* msg =   3653, deg =  7 */   1101,   2326,   4778,   5552,   6546,   7702,   8991, 
/* msg =   3654, deg =  7 */      9,   2753,   4620,   5245,   5935,   7319,   8656, 
/* msg =   3655, deg =  7 */    461,   2564,   3708,   6240,   6344,   7475,   8398, 
/* msg =   3656, deg =  7 */     66,   2080,   3727,   6241,   6478,   6691,   8690, 
/* msg =   3657, deg =  7 */    769,   2147,   4096,   5460,   6362,   7649,   8623, 
/* msg =   3658, deg =  7 */    645,   2449,   3700,   5811,   5827,   6722,   8727, 
/* msg =   3659, deg =  7 */   1191,   1997,   4404,   6140,   6406,   7783,   8502, 
/* msg =   3660, deg =  7 */    220,   1867,   4432,   5253,   5758,   8179,   8934, 
/* msg =   3661, deg =  7 */   1626,   2772,   3781,   5538,   6379,   7416,   8686, 
/* msg =   3662, deg =  7 */   1097,   1707,   3554,   5815,   6107,   7621,   8994, 
/* msg =   3663, deg =  7 */   1090,   2763,   4791,   5155,   5326,   7261,   8875, 
/* msg =   3664, deg =  7 */    536,   2058,   4408,   5934,   5971,   6670,   8627, 
/* msg =   3665, deg =  7 */    111,   1728,   4242,   5316,   6225,   8209,   8982, 
/* msg =   3666, deg =  7 */   1464,   2443,   4779,   4987,   6126,   7677,   9119, 
/* msg =   3667, deg =  7 */    206,   1713,   4395,   5314,   6170,   6930,   8324, 
/* msg =   3668, deg =  7 */    822,   3036,   3493,   5357,   5742,   7555,   9015, 
/* msg =   3669, deg =  7 */    498,   2595,   4945,   5886,   6078,   7577,   9097, 
/* msg =   3670, deg =  7 */    375,   2970,   4490,   5780,   5976,   7155,   8765, 
/* msg =   3671, deg =  7 */   1178,   3017,   3452,   6001,   6008,   7318,   9132, 
/* msg =   3672, deg =  7 */   1469,   3088,   3847,   5754,   6016,   7653,   8461, 
/* msg =   3673, deg =  7 */    520,   2433,   4550,   5744,   6582,   6838,   8715, 
/* msg =   3674, deg =  7 */   1484,   2295,   3588,   5474,   6601,   7367,   8821, 
/* msg =   3675, deg =  7 */   1115,   2434,   4381,   5111,   5723,   6719,   8763, 
/* msg =   3676, deg =  7 */    368,   2203,   4687,   5728,   6277,   6935,   8629, 
/* msg =   3677, deg =  7 */   1649,   1933,   4091,   5256,   6312,   8110,   9135, 
/* msg =   3678, deg =  7 */   1455,   2497,   4538,   6268,   6415,   7684,   8976, 
/* msg =   3679, deg =  7 */     99,   2160,   4430,   5476,   6121,   8258,   9039, 
/* msg =   3680, deg =  7 */    682,   2423,   4472,   6003,   6010,   6886,   8375, 
/* msg =   3681, deg =  7 */    327,   2090,   4965,   5531,   6130,   7991,   9063, 
/* msg =   3682, deg =  7 */     84,   2319,   4105,   5206,   6119,   6999,   8707, 
/* msg =   3683, deg =  7 */   1629,   2678,   4669,   5521,   6254,   6717,   9000, 
/* msg =   3684, deg =  7 */   1470,   2823,   3480,   5049,   6351,   7235,   9106, 
/* msg =   3685, deg =  7 */    292,   3125,   3641,   5020,   6108,   7673,   8825, 
/* msg =   3686, deg =  7 */    202,   2349,   3547,   6063,   6548,   8036,   8659, 
/* msg =   3687, deg =  7 */    147,   2625,   4197,   5823,   6606,   7422,   8771, 
/* msg =   3688, deg =  7 */    643,   1950,   3366,   5969,   6405,   6981,   9025, 
/* msg =   3689, deg =  7 */    479,   2103,   3443,   5035,   5551,   6953,   8394, 
/* msg =   3690, deg =  7 */    895,   2847,   4872,   5503,   5942,   8243,   8886, 
/* msg =   3691, deg =  7 */    568,   3297,   4397,   5071,   6241,   7855,   8891, 
/* msg =   3692, deg =  7 */   1142,   2873,   4351,   4986,   5888,   6790,   8876, 
/* msg =   3693, deg =  7 */   1207,   3194,   4714,   5201,   5849,   6997,   9076, 
/* msg =   3694, deg =  7 */    212,   3025,   3481,   5110,   5177,   8122,   8465, 
/* msg =   3695, deg =  7 */    382,   3028,   3691,   6305,   6318,   7448,   8688, 
/* msg =   3696, deg =  7 */   1148,   3218,   3713,   5442,   6257,   7629,   8713, 
/* msg =   3697, deg =  7 */   1293,   2138,   4356,   5035,   5924,   7230,   8756, 
/* msg =   3698, deg =  7 */   1477,   2965,   4466,   6494,   6538,   8078,   9087, 
/* msg =   3699, deg =  7 */     13,   3193,   4757,   5733,   6350,   6931,   9123, 
/* msg =   3700, deg =  7 */   1321,   2005,   4896,   6080,   6601,   7824,   8995, 
/* msg =   3701, deg =  7 */   1458,   2904,   4017,   5585,   6381,   7029,   8810, 
/* msg =   3702, deg =  7 */    851,   3092,   4359,   5590,   6165,   7442,   9122, 
/* msg =   3703, deg =  7 */   1253,   2631,   3347,   5392,   5512,   7932,   9133, 
/* msg =   3704, deg =  7 */   1322,   2696,   4543,   5858,   6438,   7740,   8607, 
/* msg =   3705, deg =  7 */    909,   2865,   4507,   5123,   5920,   7145,   8572, 
/* msg =   3706, deg =  7 */   1218,   3236,   3710,   5568,   6422,   8161,   8900, 
/* msg =   3707, deg =  7 */     47,   1885,   4616,   5229,   6076,   6925,   9099, 
/* msg =   3708, deg =  7 */   1504,   2032,   3848,   5751,   6444,   6688,   8779, 
/* msg =   3709, deg =  7 */   1313,   2453,   3843,   6437,   6634,   7999,   8378, 
/* msg =   3710, deg =  7 */   1066,   2178,   3980,   5126,   6549,   7387,   8472, 
/* msg =   3711, deg =  7 */    291,   2010,   3558,   5370,   6321,   8169,   8943, 
/* msg =   3712, deg =  7 */    930,   2131,   4708,   5776,   6387,   7891,   8494, 
/* msg =   3713, deg =  7 */   1281,   3231,   3892,   5178,   5486,   7209,   9042, 
/* msg =   3714, deg =  7 */    256,   2031,   4066,   5195,   5423,   7154,   9079, 
/* msg =   3715, deg =  7 */    641,   2289,   3526,   5061,   5454,   6775,   9001, 
/* msg =   3716, deg =  7 */    140,   2905,   4403,   5601,   6203,   7859,   8489, 
/* msg =   3717, deg =  7 */    398,   1834,   4917,   5044,   5221,   8283,   8858, 
/* msg =   3718, deg =  7 */   1186,   2715,   4974,   5702,   6258,   6942,   8468, 
/* msg =   3719, deg =  7 */     90,   3274,   3711,   6046,   6193,   8111,   8877, 
/* msg =   3720, deg =  7 */    705,   1701,   4588,   5101,   6557,   7665,   9024, 
/* msg =   3721, deg =  7 */    622,   1886,   3552,   6218,   6435,   7074,   8845, 
/* msg =   3722, deg =  7 */   1565,   2623,   4644,   5154,   6625,   7103,   8929, 
/* msg =   3723, deg =  7 */   1370,   2068,   4685,   5168,   5532,   7574,   8837, 
/* msg =   3724, deg =  7 */   1640,   2632,   4392,   5319,   5973,   7613,   8916, 
/* msg =   3725, deg =  7 */   1451,   2669,   4798,   5012,   6610,   6939,   9041, 
/* msg =   3726, deg =  7 */    571,   2791,   3900,   5795,   5886,   7990,   8351, 
/* msg =   3727, deg =  7 */     36,   2182,   4420,   5497,   6055,   7344,   9004, 
/* msg =   3728, deg =  7 */    364,   2984,   3901,   5365,   5669,   7638,   8522, 
/* msg =   3729, deg =  7 */    974,   2998,   4128,   6526,   6620,   7960,   8588, 
/* msg =   3730, deg =  7 */    704,   3113,   4950,   5883,   6527,   7983,   8498, 
/* msg =   3731, deg =  7 */   1234,   2502,   4512,   5678,   5794,   7797,   8864, 
/* msg =   3732, deg =  7 */   1118,   2894,   4704,   5613,   6536,   7081,   8561, 
/* msg =   3733, deg =  7 */    260,   1956,   3594,   5202,   6428,   7912,   8711, 
/* msg =   3734, deg =  7 */    549,   3221,   4927,   5960,   6452,   7377,   8583, 
/* msg =   3735, deg =  7 */    518,   1698,   4004,   6079,   6120,   7924,   8974, 
/* msg =   3736, deg =  7 */    533,   1727,   3960,   5287,   6261,   7281,   8348, 
/* msg =   3737, deg =  7 */    896,   1668,   4050,   5252,   6589,   7845,   8672, 
/* msg =   3738, deg =  7 */   1300,   1712,   3651,   5050,   5417,   6789,   9126, 
/* msg =   3739, deg =  7 */   1015,   3302,   4202,   5496,   5973,   7866,   9026, 
/* msg =   3740, deg =  7 */   1594,   2196,   3559,   5420,   5879,   7579,   8376, 
/* msg =   3741, deg =  7 */   1305,   2776,   3837,   5816,   6240,   7063,   8924, 
/* msg =   3742, deg =  7 */     15,   3015,   3623,   5906,   6310,   7298,   8902, 
/* msg =   3743, deg =  7 */    819,   3153,   3608,   5408,   5884,   8238,   9068, 
/* msg =   3744, deg =  7 */    442,   2741,   4632,   5010,   5885,   7195,   8597, 
/* msg =   3745, deg =  7 */     30,   1686,   4348,   5115,   6086,   7514,   8568, 
/* msg =   3746, deg =  7 */    482,   1967,   3405,   5175,   6390,   6957,   8814, 
/* msg =   3747, deg =  7 */    655,   2728,   4500,   6292,   6450,   7327,   8835, 
/* msg =   3748, deg =  7 */    280,   2957,   4400,   5285,   5330,   6990,   9062, 
/* msg =   3749, deg =  7 */    407,   2288,   4571,   5029,   6563,   8035,   8503, 
/* msg =   3750, deg =  7 */     34,   3096,   4045,   5170,   6464,   8298,   8554, 
/* msg =   3751, deg =  7 */     74,   2879,   4090,   5863,   6555,   8091,   8735, 
/* msg =   3752, deg =  7 */   1432,   2122,   3402,   5356,   6249,   7554,   8405, 
/* msg =   3753, deg =  7 */   1377,   2320,   4080,   5426,   6202,   6920,   8726, 
/* msg =   3754, deg =  7 */   1187,   2742,   4390,   5555,   5721,   7033,   8819, 
/* msg =   3755, deg =  7 */    915,   2258,   4701,   5847,   6644,   6702,   8993, 
/* msg =   3756, deg =  7 */   1459,   2827,   3539,   5343,   5591,   7080,   9019, 
/* msg =   3757, deg =  7 */   1399,   3255,   3517,   5420,   5785,   6871,   8373, 
/* msg =   3758, deg =  7 */    394,   2639,   4692,   5409,   5435,   8135,   8617, 
/* msg =   3759, deg =  7 */    563,   1935,   3563,   5688,   6338,   8216,   9044, 
/* msg =   3760, deg =  7 */   1546,   2325,   3372,   6334,   6592,   7878,   8670, 
/* msg =   3761, deg =  7 */   1531,   3287,   4409,   5439,   6088,   8163,   8664, 
/* msg =   3762, deg =  7 */    730,   2944,   3648,   5748,   6617,   6818,   8782, 
/* msg =   3763, deg =  7 */    601,   3228,   3982,   5954,   6062,   8089,   9093, 
/* msg =   3764, deg =  7 */    573,   1777,   4712,   5300,   6134,   7092,   8358, 
/* msg =   3765, deg =  7 */    224,   3126,   4219,   6457,   6474,   7246,   8785, 
/* msg =   3766, deg =  7 */   1402,   2642,   4324,   5406,   5646,   8147,   8683, 
/* msg =   3767, deg =  7 */    181,   3075,   4438,   5293,   6578,   7490,   8921, 
/* msg =   3768, deg =  7 */    750,   2254,   4349,   5030,   5336,   6665,   8800, 
/* msg =   3769, deg =  7 */    616,   2127,   4837,   5163,   5943,   7402,   8643, 
/* msg =   3770, deg =  7 */    837,   2802,   4666,   5233,   5797,   6889,   8628, 
/* msg =   3771, deg =  7 */    982,   2794,   3446,   5084,   5584,   7532,   8979, 
/* msg =   3772, deg =  7 */   1158,   3214,   4347,   5034,   6080,   7803,   8540, 
/* msg =   3773, deg =  7 */    475,   3284,   4651,   5011,   6004,   7884,   8755, 
/* msg =   3774, deg =  7 */    171,   2648,   3890,   5093,   5881,   8294,   8776, 
/* msg =   3775, deg =  7 */    965,   2589,   4553,   5784,   5891,   8235,   8519, 
/* msg =   3776, deg =  7 */   1233,   2302,   3431,   4999,   5488,   7018,   8908, 
/* msg =   3777, deg =  7 */   1511,   1697,   3365,   5430,   6276,   8144,   8874, 
/* msg =   3778, deg =  7 */   1200,   3162,   4154,   5232,   5308,   7188,   8382, 
/* msg =   3779, deg =  7 */    694,   3151,   3915,   5368,   6635,   8224,   8980, 
/* msg =   3780, deg =  7 */   1057,   2637,   4150,   5254,   5649,   6817,   8384, 
/* msg =   3781, deg =  7 */     42,   2082,   4689,   5896,   6272,   7231,   8655, 
/* msg =   3782, deg =  7 */   1150,   2277,   4375,   5135,   6505,   6743,   8518, 
/* msg =   3783, deg =  7 */   1266,   1822,   4758,   5138,   5600,   8093,   8977, 
/* msg =   3784, deg =  7 */   1117,   2039,   3884,   5274,   5450,   7013,   8606, 
/* msg =   3785, deg =  7 */   1106,   2775,   4864,   5601,   5967,   8166,   8409, 
/* msg =   3786, deg =  7 */   1040,   2303,   4208,   5192,   6094,   7016,   8343, 
/* msg =   3787, deg =  7 */   1660,   2569,   4426,   5369,   5914,   7644,   8389, 
/* msg =   3788, deg =  7 */    885,   2690,   3355,   5255,   6489,   7815,   8575, 
/* msg =   3789, deg =  7 */    350,   2980,   4639,   5836,   6460,   7417,   8852, 
/* msg =   3790, deg =  7 */    647,   2415,   4698,   5594,   6318,   6892,   9002, 
/* msg =   3791, deg =  7 */    940,   2862,   3397,   5449,   6239,   7211,   8647, 
/* msg =   3792, deg =  7 */   1298,   2314,   4008,   5320,   5341,   6675,   8857, 
/* msg =   3793, deg =  7 */    869,   2038,   4063,   5292,   6566,   6943,   8632, 
/* msg =   3794, deg =  7 */    760,   2736,   3925,   5704,   5810,   7993,   8793, 
/* msg =   3795, deg =  7 */   1505,   2882,   4213,   5775,   5834,   7792,   8915, 
/* msg =   3796, deg =  7 */    759,   2608,   3555,   5377,   5766,   7004,   8706, 
/* msg =   3797, deg =  7 */    128,   2553,   4075,   4998,   6245,   7169,   8576, 
/* msg =   3798, deg =  7 */    898,   3055,   3448,   5522,   6391,   8132,   8764, 
/* msg =   3799, deg =  7 */    118,   2582,   4209,   5008,   6254,   7615,   8427, 
/* msg =   3800, deg =  7 */   1245,   2485,   4275,   5961,   6506,   6963,   8385, 
/* msg =   3801, deg =  7 */     46,   3107,   4237,   5305,   5834,   7161,   8645, 
/* msg =   3802, deg =  7 */    236,   3304,   3740,   5253,   6273,   7556,   8608, 
/* msg =   3803, deg =  7 */   1491,   2924,   3954,   6357,   6534,   6924,   8907, 
/* msg =   3804, deg =  7 */    690,   3098,   3692,   5160,   6047,   8229,   8710, 
/* msg =   3805, deg =  7 */   1501,   2671,   4086,   5275,   6459,   6803,   8665, 
/* msg =   3806, deg =  7 */   1533,   2317,   3363,   5002,   6458,   8279,   8856, 
/* msg =   3807, deg =  7 */     44,   3026,   4858,   5477,   5584,   8027,   8631, 
/* msg =   3808, deg =  7 */    843,   3230,   3337,   6215,   6394,   7683,   8508, 
/* msg =   3809, deg =  7 */   1460,   2838,   3869,   5194,   5205,   6988,   8446, 
/* msg =   3810, deg =  7 */   1647,   2052,   4301,   5647,   6048,   6680,   8820, 
/* msg =   3811, deg =  7 */    931,   2174,   3943,   5550,   6266,   7243,   8692, 
/* msg =   3812, deg =  7 */    577,   2262,   4386,   5317,   5587,   8066,   8849, 
/* msg =   3813, deg =  7 */   1497,   1753,   4623,   4990,   5666,   7204,   8853, 
/* msg =   3814, deg =  7 */   1340,   3305,   3919,   5544,   5975,   7297,   8497, 
/* msg =   3815, deg =  7 */    317,   2014,   3964,   5007,   5313,   7333,   9127, 
/* msg =   3816, deg =  7 */   1424,   3198,   4607,   5580,   5911,   7958,   8684, 
/* msg =   3817, deg =  7 */    213,   2096,   3661,   6172,   6524,   8160,   8401, 
/* msg =   3818, deg =  7 */   1393,   1995,   4926,   5906,   6572,   6907,   9010, 
/* msg =   3819, deg =  7 */   1336,   2936,   4629,   4988,   5677,   7851,   9098, 
/* msg =   3820, deg =  7 */    379,   3176,   4711,   5884,   6027,   7528,   8739, 
/* msg =   3821, deg =  7 */   1254,   2049,   3565,   5104,   6167,   6723,   8411, 
/* msg =   3822, deg =  7 */   1382,   3237,   3659,   5237,   6059,   7517,   8630, 
/* msg =   3823, deg =  7 */    462,   1907,   4270,   5902,   6264,   7678,   9036, 
/* msg =   3824, deg =  7 */    297,   1909,   4370,   5267,   6089,   8228,   8428, 
/* msg =   3825, deg =  7 */    950,   1751,   3665,   5714,   6345,   8266,   8748, 
/* msg =   3826, deg =  7 */    706,   2452,   3577,   6326,   6353,   7651,   8577, 
/* msg =   3827, deg =  7 */    427,   2403,   4854,   5804,   6271,   7263,   8329, 
/* msg =   3828, deg =  7 */   1359,   2906,   4541,   5252,   5514,   7778,   9054, 
/* msg =   3829, deg =  7 */    777,   2788,   3637,   5854,   6010,   6748,   8599, 
/* msg =   3830, deg =  7 */    502,   1706,   4955,   6107,   6124,   7700,   8723, 
/* msg =   3831, deg =  7 */   1575,   2294,   4159,   6204,   6353,   7304,   9066, 
/* msg =   3832, deg =  7 */    710,   3124,   3348,   4994,   5387,   7406,   8525, 
/* msg =   3833, deg =  7 */    385,   2165,   4933,   5275,   6027,   7014,   8827, 
/* msg =   3834, deg =  7 */    305,   1855,   3342,   5136,   6256,   6915,   8361, 
/* msg =   3835, deg =  7 */     94,   3254,   3578,   5062,   6435,   7123,   8609, 
/* msg =   3836, deg =  7 */    594,   2749,   4724,   5359,   5369,   7314,   8639, 
/* msg =   3837, deg =  7 */    290,   2176,   4674,   5105,   6622,   7599,   8720, 
/* msg =   3838, deg =  7 */    714,   3100,   3487,   5548,   5807,   7954,   8775, 
/* msg =   3839, deg =  7 */    187,   2552,   3696,   5335,   6523,   7947,   8438, 
/* msg =   3840, deg =  7 */   1058,   2520,   3541,   5654,   6379,   7925,   9057, 
/* msg =   3841, deg =  7 */    561,   2561,   4883,   5436,   5927,   7968,   8548, 
/* msg =   3842, deg =  7 */   1212,   3320,   4217,   5100,   5793,   8059,   8677, 
/* msg =   3843, deg =  7 */    228,   1916,   4783,   5643,   6554,   7796,   8897, 
/* msg =   3844, deg =  7 */    193,   2291,   4519,   6142,   6485,   7424,   8861, 
/* msg =   3845, deg =  7 */    467,   3286,   4815,   5511,   5890,   6659,   8523, 
/* msg =   3846, deg =  7 */    396,   2148,   3557,   5424,   6114,   7196,   8746, 
/* msg =   3847, deg =  7 */    770,   1744,   4055,   5008,   6252,   7715,   8798, 
/* msg =   3848, deg =  7 */   1025,   2025,   4907,   5535,   6150,   6985,   8881, 
/* msg =   3849, deg =  7 */   1168,   2446,   4539,   5664,   5861,   8002,   8396, 
/* msg =   3850, deg =  7 */    542,   2766,   3886,   5824,   6267,   6730,   9067, 
/* msg =   3851, deg =  7 */   1414,   2768,   4878,   6211,   6269,   8214,   8813, 
/* msg =   3852, deg =  7 */    778,   2890,   4614,   5202,   6077,   7890,   9105, 
/* msg =   3853, deg =  7 */   1480,   2866,   4617,   5185,   5493,   7218,   8336, 
/* msg =   3854, deg =  7 */    121,   2898,   4276,   5134,   5893,   8244,   8869, 
/* msg =   3855, deg =  7 */    156,   2001,   4422,   5768,   6349,   7432,   8760, 
/* msg =   3856, deg =  7 */   1600,   1776,   4768,   6096,   6543,   7986,   8473, 
/* msg =   3857, deg =  7 */   1383,   2177,   3862,   5299,   5647,   7787,   8847, 
/* msg =   3858, deg =  7 */    856,   2367,   4774,   5494,   6208,   7066,   8556, 
/* msg =   3859, deg =  7 */    922,   2829,   3605,   6019,   6346,   7015,   8872, 
/* msg =   3860, deg =  7 */    264,   2808,   4258,   5243,   6475,   6749,   8846, 
/* msg =   3861, deg =  7 */     22,   3256,   3757,   5539,   6346,   7597,   8747, 
/* msg =   3862, deg =  7 */   1219,   2540,   3910,   5263,   5676,   6766,   8566, 
/* msg =   3863, deg =  7 */   1225,   2578,   3584,   6398,   6418,   8033,   8487, 
/* msg =   3864, deg =  7 */   1506,   3170,   4413,   5404,   6320,   6681,   8458, 
/* msg =   3865, deg =  7 */   1070,   2425,   3629,   5589,   5801,   7979,   8842, 
/* msg =   3866, deg =  7 */   1527,   2469,   4036,   6021,   6581,   7639,   8865, 
/* msg =   3867, deg =  7 */    923,   2889,   3733,   5866,   6385,   8104,   8972, 
/* msg =   3868, deg =  7 */   1129,   2271,   4243,   6232,   6247,   7241,   8532, 
/* msg =   3869, deg =  7 */    555,   2558,   4870,   5358,   6469,   6992,   8313, 
/* msg =   3870, deg =  7 */    848,   1796,   3582,   5290,   6104,   7731,   9021, 
/* msg =   3871, deg =  7 */    386,   2653,   4606,   5734,   6467,   7858,   8594, 
/* msg =   3872, deg =  7 */   1620,   1718,   4661,   5025,   5346,   8145,   8615, 
/* msg =   3873, deg =  7 */    793,   2674,   4572,   5956,   6613,   7887,   8582, 
/* msg =   3874, deg =  7 */    124,   2777,   4728,   5763,   6132,   7283,   8477, 
/* msg =   3875, deg =  7 */   1655,   2781,   3492,   5060,   5237,   8165,   8697, 
/* msg =   3876, deg =  7 */   1286,   2493,   4504,   6070,   6138,   7079,   8949, 
/* msg =   3877, deg =  7 */    971,   2579,   4352,   4991,   6212,   7882,   8941, 
/* msg =   3878, deg =  7 */    789,   3267,   3512,   5223,   6642,   7465,   8841, 
/* msg =   3879, deg =  7 */    506,   2926,   3894,   5201,   5781,   8211,   8796, 
/* msg =   3880, deg =  7 */   1621,   3227,   3722,   5725,   6441,   7833,   8367, 
/* msg =   3881, deg =  7 */    157,   3278,   4605,   6002,   6143,   8199,   8435, 
/* msg =   3882, deg =  7 */     39,   3087,   4364,   5501,   5699,   7972,   8536, 
/* msg =   3883, deg =  7 */   1276,   2747,   4152,   6451,   6497,   7741,   8850, 
/* msg =   3884, deg =  7 */    634,   2884,   4201,   5001,   5065,   6918,   8650, 
/* msg =   3885, deg =  7 */    190,   2375,   3879,   5278,   5745,   7449,   8910, 
/* msg =   3886, deg =  7 */    966,   3050,   4673,   5137,   6609,   8080,   8374, 
/* msg =   3887, deg =  7 */    650,   2526,   3714,   5291,   5515,   6928,   8454, 
/* msg =   3888, deg =  7 */    380,   2843,   3917,   5375,   6577,   7213,   9043, 
/* msg =   3889, deg =  7 */   1607,   2985,   4452,   5364,   6017,   8300,   8947, 
/* msg =   3890, deg =  7 */    201,   2783,   4948,   6034,   6641,   6837,   8752, 
/* msg =   3891, deg =  7 */   1358,   2026,   4401,   5042,   5765,   7830,   9037, 
/* msg =   3892, deg =  7 */   1423,   2281,   3334,   5191,   6114,   7182,   8481, 
/* msg =   3893, deg =  7 */    341,   3142,   4966,   5426,   6207,   7843,   8958, 
/* msg =   3894, deg =  7 */    737,   2544,   4239,   5096,   5770,   8253,   8862, 
/* msg =   3895, deg =  7 */    588,   3084,   4328,   5060,   5758,   8236,   8356, 
/* msg =   3896, deg =  7 */   1624,   3234,   3819,   6387,   6617,   6664,   8469, 
/* msg =   3897, deg =  7 */     40,   1888,   4415,   5082,   5574,   8032,   8930, 
/* msg =   3898, deg =  7 */    544,   2323,   3697,   5219,   6561,   7101,   9088, 
/* msg =   3899, deg =  7 */     76,   2282,   4326,   5570,   6643,   7046,   9125, 
/* msg =   3900, deg =  7 */    436,   2867,   3379,   5887,   5966,   7793,   8786, 
/* msg =   3901, deg =  7 */   1632,   2739,   3745,   5305,   5545,   7564,   8557, 
/* msg =   3902, deg =  7 */    814,   3171,   3553,   5555,   6190,   7163,   8751, 
/* msg =   3903, deg =  7 */    912,   3013,   4460,   5472,   5995,   7750,   8333, 
/* msg =   3904, deg =  7 */   1548,   3138,   4751,   6320,   6471,   6874,   8455, 
/* msg =   3905, deg =  7 */    927,   3298,   4106,   5164,   6427,   7119,   9111, 
/* msg =   3906, deg =  7 */    801,   3139,   4857,   5285,   5383,   7918,   8654, 
/* msg =   3907, deg =  7 */   1503,   2581,   3923,   5092,   5535,   8181,   8565, 
/* msg =   3908, deg =  7 */     14,   2628,   3699,   5360,   5786,   7233,   8889, 
/* msg =   3909, deg =  7 */    913,   2953,   4307,   5919,   6568,   7569,   8986, 
/* msg =   3910, deg =  7 */   1457,   3143,   3738,   5256,   5425,   7005,   8740, 
/* msg =   3911, deg =  7 */    743,   1820,   4936,   5335,   6416,   7821,   9016, 
/* msg =   3912, deg =  7 */    821,   2200,   4431,   6175,   6440,   6747,   9061, 
/* msg =   3913, deg =  7 */   1523,   2708,   4749,   5372,   5467,   7539,   8349, 
/* msg =   3914, deg =  7 */   1380,   1881,   4501,   5699,   5867,   6785,   8344, 
/* msg =   3915, deg =  7 */    411,   2681,   3887,   5306,   5936,   7212,   8892, 
/* msg =   3916, deg =  7 */    669,   3229,   4517,   5250,   6410,   7461,   8432, 
/* msg =   3917, deg =  7 */     18,   2259,   4266,   5367,   5484,   8223,   9081, 
/* msg =   3918, deg =  7 */   1519,   2265,   3817,   4993,   6166,   6701,   8866, 
/* msg =   3919, deg =  7 */    534,   2470,   4725,   6043,   6603,   8013,   8893, 
/* msg =   3920, deg =  7 */    208,   2710,   3985,   5445,   5655,   7533,   8362, 
/* msg =   3921, deg =  7 */    153,   3127,   4675,   5277,   6436,   7622,   8905, 
/* msg =   3922, deg =  7 */    329,   2911,   4679,   6525,   6604,   7098,   8380, 
/* msg =   3923, deg =  7 */    766,   1972,   3647,   5468,   6491,   6699,   8587, 
/* msg =   3924, deg =  7 */   1020,   2963,   4612,   5764,   6309,   7819,   8691, 
/* msg =   3925, deg =  7 */    968,   1858,   4916,   5741,   6528,   6672,   8885, 
/* msg =   3926, deg =  7 */    300,   2622,   4828,   5465,   5576,   7267,   8562, 
/* msg =   3927, deg =  7 */    158,   1818,   3942,   5557,   6517,   8265,   8559, 
/* msg =   3928, deg =  7 */    815,   2893,   3350,   5087,   6059,   8246,   8920, 
/* msg =   3929, deg =  7 */   1019,   2807,   4781,   6270,   6587,   6707,   8624, 
/* msg =   3930, deg =  7 */     51,   2950,   4228,   6011,   6570,   7208,   8495, 
/* msg =   3931, deg =  7 */   1192,   1725,   4746,   5656,   6615,   7260,   8648, 
/* msg =   3932, deg =  7 */    447,   2796,   4454,   5140,   5921,   7772,   8534, 
/* msg =   3933, deg =  7 */    609,   2214,   4608,   5089,   6378,   7834,   9031, 
/* msg =   3934, deg =  7 */    633,   2007,   3607,   5021,   6636,   7494,   8567, 
/* msg =   3935, deg =  7 */    949,   2035,   3870,   6395,   6562,   7542,   8459, 
/* msg =   3936, deg =  7 */   1589,   1785,   4595,   5780,   6571,   7376,   8954, 
/* msg =   3937, deg =  7 */    445,   2034,   3653,   5787,   6153,   6760,   9070, 
/* msg =   3938, deg =  7 */    953,   1830,   3951,   5945,   6363,   6956,   8999, 
/* msg =   3939, deg =  7 */   1641,   2535,   3778,   5323,   5483,   8275,   8719, 
/* msg =   3940, deg =  7 */   1544,   3311,   4127,   6284,   6335,   8291,   8887, 
/* msg =   3941, deg =  7 */    138,   2344,   3857,   6253,   6460,   7779,   8791, 
/* msg =   3942, deg =  7 */    515,   3257,   4040,   5411,   6643,   6888,   9092, 
/* msg =   3943, deg =  7 */   1257,   3253,   4304,   5541,   6111,   8157,   8932, 
/* msg =   3944, deg =  7 */    464,   1965,   3412,   5611,   5645,   7391,   8563, 
/* msg =   3945, deg =  7 */    736,   2500,   4969,   5529,   6061,   8250,   9129, 
/* msg =   3946, deg =  7 */    589,   2529,   3905,   5130,   5389,   7460,   8391, 
/* msg =   3947, deg =  7 */    557,   3102,   4225,   5704,   6364,   7217,   8578, 
/* msg =   3948, deg =  7 */    221,   2195,   4399,   5304,   6630,   7956,   8734, 
/* msg =   3949, deg =  7 */    485,   1872,   4203,   6198,   6294,   6982,   8558, 
/* msg =   3950, deg =  7 */    410,   3008,   3465,   5056,   6085,   8252,   9051, 
/* msg =   3951, deg =  7 */    590,   2810,   4317,   6035,   6612,   6844,   8773, 
/* msg =   3952, deg =  7 */   1310,   3190,   4436,   5323,   5567,   8000,   8738, 
/* msg =   3953, deg =  7 */    331,   2854,   4962,   5107,   6037,   7703,   8589, 
/* msg =   3954, deg =  7 */    849,   2719,   3498,   5663,   6498,   8008,   8543, 
/* msg =   3955, deg =  7 */    169,   1900,   4960,   5319,   5720,   8267,   8750, 
/* msg =   3956, deg =  7 */    625,   3041,   3965,   6289,   6530,   7043,   8445, 
/* msg =   3957, deg =  7 */   1166,   3165,   4132,   6030,   6467,   7409,   8514, 
/* msg =   3958, deg =  7 */   1524,   2219,   4658,   6083,   6216,   7238,   8460, 
/* msg =   3959, deg =  7 */   1574,   2327,   3959,   5520,   6221,   7674,   8950, 
/* msg =   3960, deg =  7 */   1397,   3058,   4875,   5070,   5759,   6952,   9046, 
/* msg =   3961, deg =  7 */    538,   2167,   3800,   5018,   5814,   7198,   8705, 
/* msg =   3962, deg =  7 */    432,   3281,   3839,   6264,   6483,   8085,   8463, 
/* msg =   3963, deg =  7 */   1324,   1824,   3928,   6349,   6375,   7201,   8693, 
/* msg =   3964, deg =  7 */     41,   1700,   4450,   6336,   6492,   6917,   8550, 
/* msg =   3965, deg =  7 */    900,   3262,   3674,   5724,   6275,   6696,   8386, 
/* msg =   3966, deg =  7 */   1489,   2709,   3877,   6433,   6566,   6842,   9055, 
/* msg =   3967, deg =  7 */    711,   2702,   4412,   5496,   6614,   7806,   8721, 
/* msg =   3968, deg =  7 */    800,   2309,   4014,   5284,   6516,   8198,   8573, 
/* msg =   3969, deg =  7 */    359,   3243,   4518,   5457,   5946,   7393,   9003, 
/* msg =   3970, deg =  7 */   1190,   2193,   4177,   5482,   5493,   7730,   8633, 
/* msg =   3971, deg =  7 */   1044,   1677,   4829,   5208,   6291,   7262,   8500, 
/* msg =   3972, deg =  7 */    268,   2990,   4797,   4988,   6308,   6971,   8649, 
/* msg =   3973, deg =  7 */   1188,   2962,   4094,   5416,   6540,   7971,   9095, 
/* msg =   3974, deg =  7 */    480,   2306,   3873,   6178,   6396,   6969,   8618, 
/* msg =   3975, deg =  7 */    904,   2991,   4932,   6110,   6397,   7771,   8701, 
/* msg =   3976, deg =  7 */    324,   1896,   3687,   5280,   5788,   7360,   8491, 
/* msg =   3977, deg =  7 */   1535,   3043,   3902,   5467,   6507,   8193,   8314, 
/* msg =   3978, deg =  7 */    891,   2680,   3420,   5080,   6628,   6778,   8761, 
/* msg =   3979, deg =  7 */   1378,   2070,   3683,   5706,   6533,   7170,   8424, 
/* msg =   3980, deg =  7 */    659,   2307,   4190,   5007,   5881,   8115,   8496, 
/* msg =   3981, deg =  7 */    120,   2474,   3717,   5431,   6055,   7105,   8612, 
/* msg =   3982, deg =  7 */    528,   2575,   4780,   5615,   5827,   7530,   9086, 
/* msg =   3983, deg =  7 */   1060,   2255,   4906,   5449,   5774,   8292,   9020, 
/* msg =   3984, deg =  7 */    310,   1742,   4939,   5289,   6646,   6676,   8890, 
/* msg =   3985, deg =  7 */    418,   3080,   3972,   5644,   5894,   7605,   8646, 
/* msg =   3986, deg =  7 */   1034,   2129,   4665,   5029,   6194,   7482,   8452, 
/* msg =   3987, deg =  7 */   1180,   3067,   3482,   5224,   6029,   7358,   8838, 
/* msg =   3988, deg =  7 */    510,   1976,   4613,   5845,   5955,   6880,   9130, 
/* msg =   3989, deg =  7 */   1584,   1884,   3918,   5053,   5363,   8088,   9059, 
/* msg =   3990, deg =  7 */    463,   2098,   3906,   5037,   5848,   7178,   8657, 
/* msg =   3991, deg =  7 */    876,   2528,   3811,   5239,   6101,   6797,   8667, 
/* msg =   3992, deg =  7 */    387,   3078,   4385,   5399,   5993,   7707,   8901, 
/* msg =   3993, deg =  7 */   1087,   3292,   4320,   6103,   6115,   6805,   8638, 
/* msg =   3994, deg =  7 */    693,   2892,   4064,   5808,   6386,   8009,   8585, 
/* msg =   3995, deg =  7 */    395,   2173,   3351,   5499,   5639,   7802,   8625, 
/* msg =   3996, deg =  7 */     55,   2440,   3895,   6257,   6426,   8037,   8699, 
/* msg =   3997, deg =  7 */    444,   2486,   4650,   5536,   6383,   7511,   8593, 
/* msg =   3998, deg =  7 */   1077,   3272,   4830,   5698,   5809,   7575,   8687, 
/* msg =   3999, deg =  7 */    203,   2999,   3650,   5755,   6123,   6821,   8863, 
/* msg =   4000, deg =  7 */   1279,   2700,   3421,   5391,   5843,   6894,   8335, 
/* msg =   4001, deg =  7 */    345,   2473,   4957,   5923,   6347,   7187,   8363, 
/* msg =   4002, deg =  7 */    973,   2413,   4382,   5166,   5745,   7302,   9018, 
/* msg =   4003, deg =  7 */   1067,   3181,   4034,   5556,   5679,   8196,   8689, 
/* msg =   4004, deg =  7 */    621,   2472,   3471,   5276,   5573,   6799,   8658, 
/* msg =   4005, deg =  7 */    636,   3211,   4556,   5604,   6185,   7274,   8383, 
/* msg =   4006, deg =  7 */    554,   1764,   4486,   5709,   6226,   7077,   8448, 
/* msg =   4007, deg =  7 */   1498,   2249,   4574,   6039,   6618,   7150,   8546, 
/* msg =   4008, deg =  7 */     77,   2844,   4705,   5743,   6611,   7774,   8501, 
/* msg =   4009, deg =  7 */    448,   2417,   3940,   6286,   6536,   8057,   8541, 
/* msg =   4010, deg =  7 */    389,   3046,   3373,   5526,   6626,   8119,   8792, 
/* msg =   4011, deg =  7 */    866,   2938,   4200,   5244,   5600,   8095,   8443, 
/* msg =   4012, deg =  7 */    191,   2512,   4925,   5566,   6157,   7471,   8749, 
/* msg =   4013, deg =  7 */    253,   1948,   4051,   5372,   5436,   7140,   8484, 
/* msg =   4014, deg =  7 */   1522,   2341,   4720,   5617,   5810,   7431,   8732, 
/* msg =   4015, deg =  7 */    492,   2372,   3737,   5223,   5773,   6970,   8682, 
/* msg =   4016, deg =  7 */    972,   1709,   4162,   5464,   6465,   8270,   8526, 
/* msg =   4017, deg =  7 */    336,   3290,   3575,   5475,   5590,   7969,   8788, 
/* msg =   4018, deg =  7 */    596,   2382,   4210,   6173,   6438,   7434,   8564, 
/* msg =   4019, deg =  7 */    772,   1816,   4587,   5065,   5310,   7919,   8317, 
/* msg =   4020, deg =  7 */    933,   1929,   3746,   5480,   5975,   7159,   8337, 
/* msg =   4021, deg =  7 */   1570,   3094,   3958,   5848,   6526,   7452,   8352, 
/* msg =   4022, deg =  7 */    996,   2379,   4944,   6244,   6439,   7714,   8939, 
/* msg =   4023, deg =  7 */     48,   2798,   4170,   5349,   5938,   7094,   8474, 
/* msg =   4024, deg =  7 */     20,   2803,   4684,   5099,   5447,   7222,   8698, 
/* msg =   4025, deg =  7 */    242,   1730,   3642,   5260,   5307,   8138,   8339, 
/* msg =   4026, deg =  7 */   1545,   2530,   3433,   5111,   5769,   7973,   8345, 
/* msg =   4027, deg =  7 */    585,   2652,   4508,   5284,   6070,   8261,   8824, 
/* msg =   4028, deg =  7 */    627,   2751,   3634,   5546,   6368,   8260,   8506, 
/* msg =   4029, deg =  7 */    944,   1710,   4447,   5062,   6067,   7713,   8762, 
/* msg =   4030, deg =  7 */    803,   1844,   4256,   6339,   6472,   7652,   8822, 
/* msg =   4031, deg =  7 */   1295,   2916,   4938,   5393,   5989,   7690,   8695, 
/* msg =   4032, deg =  7 */   1177,   2000,   3755,   5859,   6612,   7534,   8415, 
/* msg =   4033, deg =  7 */    348,   3086,   4786,   6159,   6488,   7447,   8666, 
/* msg =   4034, deg =  7 */   1109,   1910,   4371,   5321,   5816,   7031,   8781, 
/* msg =   4035, deg =  7 */    517,   2037,   4849,   5498,   5551,   7503,   8323, 
/* msg =   4036, deg =  7 */   1438,   2942,   4462,   5158,   5557,   6882,   8888, 
/* msg =   4037, deg =  7 */    219,   2923,   4439,   5683,   6095,   7915,   8809, 
/* msg =   4038, deg =  7 */    810,   2594,   4081,   6007,   6089,   7335,   8978, 
/* msg =   4039, deg =  7 */   1039,   2110,   4552,   5452,   5631,   7995,   8553, 
/* msg =   4040, deg =  7 */   1299,   2973,   3753,   5144,   5543,   8134,   8936, 
/* msg =   4041, deg =  7 */    556,   2895,   4889,   6351,   6386,   7757,   8330, 
/* msg =   4042, deg =  7 */    920,   3199,   3432,   6133,   6324,   8218,   9115, 
/* msg =   4043, deg =  7 */   1291,   3040,   4449,   5462,   6501,   7269,   8966, 
/* msg =   4044, deg =  7 */   1201,   2448,   3551,   5782,   5937,   7030,   8604, 
/* msg =   4045, deg =  7 */   1409,   3155,   4115,   5217,   6249,   7930,   8802, 
/* msg =   4046, deg =  7 */   1425,   3223,   3784,   6297,   6482,   6984,   8919, 
/* msg =   4047, deg =  7 */   1429,   2226,   4834,   5271,   5495,   6724,   8493, 
/* msg =   4048, deg =  7 */   1241,   1984,   4423,   5964,   6496,   8205,   8512, 
/* msg =   4049, deg =  7 */    674,   2655,   4913,   5850,   6205,   7174,   9040, 
/* msg =   4050, deg =  7 */   1528,   2682,   4476,   5638,   6331,   7694,   9074, 
/* msg =   4051, deg =  7 */    595,   2263,   3615,   5134,   6200,   6737,   8884, 
/* msg =   4052, deg =  7 */   1248,   2190,   4739,   5299,   6529,   7425,   9103, 
/* msg =   4053, deg =  7 */    613,   1966,   4652,   5561,   6287,   7904,   8737, 
/* msg =   4054, deg =  7 */   1572,   1807,   4844,   5172,   6559,   7388,   8511, 
/* msg =   4055, deg =  7 */   1568,   2166,   4236,   5562,   5913,   7025,   8894, 
/* msg =   4056, deg =  7 */   1223,   2983,   3643,   5044,   5118,   7214,   8312, 
/* msg =   4057, deg =  7 */    248,   2663,   4811,   5231,   5429,   8268,   8513, 
/* msg =   4058, deg =  7 */   1362,   2119,   4678,   5162,   6147,   7588,   8777, 
/* msg =   4059, deg =  7 */    951,   2483,   4027,   5536,   6146,   8195,   8878, 
/* msg =   4060, deg =  7 */   1133,   2404,   4603,   5085,   6455,   6673,   8381, 
/* msg =   4061, deg =  7 */    283,   3148,   4806,   5658,   6509,   6801,   8530, 
/* msg =   4062, deg =  7 */    390,   2491,   3486,   5324,   6238,   7853,   8413, 
/* msg =   4063, deg =  7 */    231,   2146,   4941,   5586,   5799,   8071,   8596, 
/* msg =   4064, deg =  7 */     59,   2015,   4325,   5303,   5865,   7348,   8780, 
/* msg =   4065, deg =  7 */    747,   2713,   3340,   5017,   5051,   7716,   8399, 
/* msg =   4066, deg =  7 */    631,   2806,   3836,   5378,   6148,   6890,   8823, 
/* msg =   4067, deg =  7 */    413,   2978,   4968,   5067,   6117,   8170,   9009, 
/* msg =   4068, deg =  7 */      0,   2299,   4057,   5479,   5779,   7524,   8544, 
/* msg =   4069, deg =  7 */    210,   1682,   4151,   5347,   5947,   8287,   8956, 
/* msg =   4070, deg =  7 */    878,   3074,   3451,   5427,   6422,   6686,   8840, 
/* msg =   4071, deg =  7 */   1428,   3122,   4812,   5099,   5787,   6710,   8570, 
/* msg =   4072, deg =  7 */    785,   2041,   3600,   5084,   6527,   8017,   8828, 
/* msg =   4073, deg =  7 */    952,   2550,   3591,   5968,   6356,   7146,   8479, 
/* msg =   4074, deg =  7 */   1534,   1760,   4843,   5953,   6040,   7724,   8547, 
/* msg =   4075, deg =  7 */    137,   2092,   3921,   5064,   6231,   6788,   8464, 
/* msg =   4076, deg =  7 */   1205,   1684,   4065,   6083,   6569,   6742,   8637, 
/* msg =   4077, deg =  7 */   1316,   1932,   3335,   5405,   6564,   6830,   9075, 
/* msg =   4078, deg =  7 */   1193,   3146,   4876,   5157,   5580,   6904,   8326, 
/* msg =   4079, deg =  7 */   1418,   2839,   4286,   5108,   6020,   8200,   8704, 
/* msg =   4080, deg =  7 */    829,   2065,   3789,   5990,   6327,   7112,   8480, 
/* msg =   4081, deg =  7 */    961,   2020,   3824,   5049,   5636,   7761,   8516, 
/* msg =   4082, deg =  7 */   1461,   2156,   3882,   6140,   6364,   8012,   9008, 
/* msg =   4083, deg =  7 */   1593,   2743,   4296,   5221,   5483,   8185,   9045, 
/* msg =   4084, deg =  7 */   1065,   2859,   3760,   5851,   6097,   7745,   8342, 
/* msg =   4085, deg =  7 */   1228,   2390,   3838,   5314,   5950,   7738,   9120, 
/* msg =   4086, deg =  7 */    499,   3288,   3898,   5059,   6585,   6949,   8325, 
/* msg =   4087, deg =  7 */    535,   3188,   3381,   6109,   6282,   7743,   8338, 
/* msg =   4088, deg =  7 */    176,   2136,   4655,   5820,   5984,   7701,   9102, 
/* msg =   4089, deg =  7 */    102,   2164,   4919,   5405,   5443,   6893,   8601, 
/* msg =   4090, deg =  7 */   1273,   2782,   4975,   5797,   6542,   7124,   8476, 
/* msg =   4091, deg =  7 */   1333,   2386,   3748,   5705,   6014,   7630,   8402, 
/* msg =   4092, deg =  7 */    240,   1740,   4389,   5279,   6105,   7438,   8724, 
/* msg =   4093, deg =  7 */    277,   1937,   4278,   5217,   6495,   6779,   9053, 
/* msg =   4094, deg =  7 */    802,   3174,   4288,   6069,   6330,   8072,   8914, 
/* msg =   4095, deg =  7 */   1443,   2112,   4085,   5150,   5592,   7914,   8774, 
/* msg =   4096, deg =  7 */    623,   2060,   3747,   5397,   6256,   7628,   8616, 
/* msg =   4097, deg =  7 */     27,   3147,   4662,   5294,   5540,   7109,   8449, 
/* msg =   4098, deg =  7 */   1308,   2209,   4534,   5417,   5494,   8184,   8441, 
/* msg =   4099, deg =  7 */   1263,   2541,   3376,   6022,   6419,   7516,   8836, 
/* msg =   4100, deg =  7 */   1049,   2849,   4569,   5271,   5312,   7280,   8675, 
/* msg =   4101, deg =  7 */   1349,   3091,   4116,   5012,   6116,   7675,   8992, 
/* msg =   4102, deg =  7 */   1401,   3132,   4949,   5216,   6179,   7863,   8680, 
/* msg =   4103, deg =  7 */    597,   3258,   4738,   5276,   6060,   7582,   8790, 
/* msg =   4104, deg =  7 */    457,   2982,   4794,   5988,   6491,   8257,   8766, 
/* msg =   4105, deg =  7 */    701,   2154,   4283,   5002,   6638,   7596,   8663, 
/* msg =   4106, deg =  7 */   1051,   3182,   3644,   5376,   5683,   7585,   9112, 
/* msg =   4107, deg =  7 */   1582,   2856,   4477,   6200,   6621,   7466,   8694, 
/* msg =   4108, deg =  7 */    333,   2646,   3660,   5902,   6191,   7008,   8490, 
/* msg =   4109, deg =  7 */     54,   2673,   4659,   5373,   6038,   7522,   8870, 
/* msg =   4110, deg =  7 */   1018,   1702,   3911,   5527,   5844,   7435,   8421, 
/* msg =   4111, deg =  7 */    422,   2868,   3581,   5812,   6642,   7849,   8364, 
/* msg =   4112, deg =  7 */   1510,   1723,   4113,   6117,   6482,   8142,   8542, 
/* msg =   4113, deg =  7 */   1071,   2591,   4874,   5355,   5466,   8281,   8392, 
/* msg =   4114, deg =  7 */   1646,   3076,   4067,   5492,   6565,   7143,   8757, 
/* msg =   4115, deg =  7 */   1468,   2389,   3556,   6214,   6550,   6995,   8661, 
/* msg =   4116, deg =  7 */    262,   2113,   4852,   5517,   5558,   7616,   8804, 
/* msg =   4117, deg =  7 */   1475,   2733,   3611,   6149,   6615,   8068,   8973, 
/* msg =   4118, deg =  7 */    237,   2506,   3622,   5362,   6203,   7755,   8912, 
/* msg =   4119, deg =  7 */   1108,   2830,   4769,   5143,   6120,   6649,   8529, 
/* msg =   4120, deg =  7 */    163,   2385,   3449,   6015,   6075,   7840,   8829, 
/* msg =   4121, deg =  7 */    126,   2324,   3883,   5628,   5666,   7282,   8404, 
/* msg =   4122, deg =  7 */    926,   2699,   4580,   5440,   6533,   7552,   8830, 
/* msg =   4123, deg =  7 */    366,   1809,   3719,   5454,   5944,   7130,   8818, 
/* msg =   4124, deg =  7 */     65,   2551,   3657,   5718,   5719,   8112,   8942, 
/* msg =   4125, deg =  7 */      7,   2457,   4867,   6461,   6464,   7504,   9073, 
/* msg =   4126, deg =  7 */   1334,   3203,   3723,   5394,   5410,   6864,   8492, 
/* msg =   4127, deg =  7 */    717,   2557,   3786,   5531,   6111,   7870,   9108, 
/* msg =   4128, deg =  7 */   1120,   2011,   4485,   5078,   6163,   7242,   8642, 
/* msg =   4129, deg =  7 */   1270,   2601,   4610,   5073,   5135,   8286,   8679, 
/* msg =   4130, deg =  7 */    129,   2388,   4273,   5247,   5542,   8245,   8696, 
/* msg =   4131, deg =  7 */    523,   2539,   4647,   5240,   6440,   6713,   8434, 
/* msg =   4132, deg =  7 */   1035,   1992,   3827,   5770,   6423,   7789,   9022, 
/* msg =   4133, deg =  7 */    767,   2590,   4078,   5648,   5934,   6667,   8555, 
/* msg =   4134, deg =  7 */    611,   3251,   4897,   6078,   6260,   7380,   9027, 
/* msg =   4135, deg =  7 */    449,   1678,   4952,   5213,   5250,   7654,   8346, 
/* msg =   4136, deg =  7 */    988,   2205,   3462,   5817,   6551,   8215,   8742, 
/* msg =   4137, deg =  7 */    540,   3160,   3736,   5665,   6493,   7900,   8896, 
/* msg =   4138, deg =  7 */   1379,   1827,   3936,   6518,   6541,   8099,   8927, 
/* msg =   4139, deg =  7 */   1387,   2908,   3754,   6231,   6371,   7375,   9139, 
/* msg =   4140, deg =  7 */     98,   2945,   4809,   5545,   5822,   7118,   8975, 
/* msg =   4141, deg =  7 */   1128,   2395,   3549,   5147,   6293,   6849,   9006, 
/* msg =   4142, deg =  7 */    440,   3004,   4289,   5327,   6040,   7200,   9032, 
/* msg =   4143, deg =  7 */    761,   2795,   4012,   5916,   6429,   7593,   8614, 
/* msg =   4144, deg =  7 */    744,   2852,   4767,   5023,   6343,   6858,   8320, 
/* msg =   4145, deg =  7 */   1134,   3279,   3500,   5828,   6449,   7390,   8963, 
/* msg =   4146, deg =  7 */    392,   2487,   3922,   5056,   5106,   6998,   8605, 
/* msg =   4147, deg =  7 */    258,   2960,   3331,   5777,   5977,   6652,   8407, 
/* msg =   4148, deg =  7 */    692,   1957,   3814,   5620,   6506,   8058,   8843, 
/* msg =   4149, deg =  7 */     95,   1738,   4025,   5451,   5518,   7193,   8778, 
/* msg =   4150, deg =  7 */    565,   2941,   4016,   5518,   6513,   7529,   9138, 
/* msg =   4151, deg =  7 */   1260,   2688,   3453,   5116,   5295,   6814,   8310, 
/* msg =   4152, deg =  7 */   1346,   2934,   4584,   5058,   6522,   7309,   8903, 
/* msg =   4153, deg =  7 */     32,   2330,   3437,   5184,   5983,   7505,   8478, 
/* msg =   4154, deg =  7 */   1093,   1964,   3851,   5190,   5441,   7848,   8851, 
/* msg =   4155, deg =  7 */    823,   2537,   3802,   5226,   5591,   7372,   9671, 
/* msg =   4156, deg =  7 */   1275,   2767,   3788,   5013,   5858,   7059,   9722, 
/* msg =   4157, deg =  7 */   1339,   2183,   3775,   5473,   5941,   7933,   9441, 
/* msg =   4158, deg =  7 */    857,   1913,   4284,   5328,   6391,   6669,   9732, 
/* msg =   4159, deg =  7 */   1517,   1914,   3507,   5072,   5241,   7663,   9562, 
/* msg =   4160, deg =  7 */    998,   3121,   4826,   5058,   5233,   8031,   9465, 
/* msg =   4161, deg =  7 */    715,   2185,   4971,   5054,   6575,   7266,   9841, 
/* msg =   4162, deg =  7 */   1343,   2081,   3375,   6115,   6413,   8251,   9440, 
/* msg =   4163, deg =  7 */    691,   2580,   4144,   5843,   6180,   6777,   9926, 
/* msg =   4164, deg =  7 */    981,   2428,   3693,   5200,   5741,   7847,   9664, 
/* msg =   4165, deg =  7 */   1583,   2104,   4042,   5132,   5911,   6853,   9184, 
/* msg =   4166, deg =  7 */    564,   1856,   3434,   5227,   5244,   7791,   9470, 
/* msg =   4167, deg =  7 */    709,   2420,   4024,   6106,   6303,   7337,   9473, 
/* msg =   4168, deg =  7 */    100,   1735,   3427,   5220,   6126,   8025,   9579, 
/* msg =   4169, deg =  7 */    791,   2187,   4929,   6045,   6280,   7682,   9295, 
/* msg =   4170, deg =  7 */   1490,   2013,   4522,   5351,   6402,   6951,   9174, 
/* msg =   4171, deg =  7 */   1277,   1752,   3912,   5121,   5264,   6845,   9864, 
/* msg =   4172, deg =  7 */   1364,   2876,   3612,   5112,   6201,   7488,   9460, 
/* msg =   4173, deg =  7 */    288,   2002,   4865,   5286,   5527,   8225,   9202, 
/* msg =   4174, deg =  7 */    486,   2920,   3352,   5652,   5837,   6974,   9521, 
/* msg =   4175, deg =  7 */    551,   3030,   4693,   5407,   5611,   7279,   9881, 
/* msg =   4176, deg =  7 */    875,   1748,   4171,   5197,   6450,   6694,   9361, 
/* msg =   4177, deg =  7 */    525,   2304,   3821,   5478,   6365,   7457,   9396, 
/* msg =   4178, deg =  7 */   1590,   1912,   3830,   5340,   6178,   8152,   9156, 
/* msg =   4179, deg =  7 */    640,   2471,   4099,   4992,   6361,   8016,   9754, 
/* msg =   4180, deg =  7 */   1332,   2880,   3617,   5432,   5470,   7179,   9555, 
/* msg =   4181, deg =  7 */   1171,   3116,   4264,   6051,   6595,   7373,   9685, 
/* msg =   4182, deg =  7 */   1622,   2361,   4453,   6135,   6149,   8087,   9322, 
/* msg =   4183, deg =  7 */    725,   1696,   4558,   5334,   6175,   7568,   9283, 
/* msg =   4184, deg =  7 */    530,   2567,   3475,   5361,   5661,   6980,   9959, 
/* msg =   4185, deg =  7 */   1314,   2250,   4513,   5803,   5868,   7176,   9536, 
/* msg =   4186, deg =  7 */    888,   2144,   4039,   5866,   5946,   6715,   9643, 
/* msg =   4187, deg =  7 */    232,   1662,   4951,   5403,   5588,   8183,   9690, 
/* msg =   4188, deg =  7 */    361,   3103,   3780,   5718,   6188,   7307,   9661, 
/* msg =   4189, deg =  7 */    552,   3003,   4074,   5936,   6185,   7131,   9621, 
/* msg =   4190, deg =  7 */    356,   2481,   4227,   5950,   6074,   7812,   9492, 
/* msg =   4191, deg =  7 */   1644,   1763,   4676,   5268,   6319,   8210,   9273, 
/* msg =   4192, deg =  7 */   1315,   2948,   4496,   5991,   6101,   8146,   9586, 
/* msg =   4193, deg =  7 */     80,   2033,   3439,   5638,   5809,   7928,   9306, 
/* msg =   4194, deg =  7 */    990,   3161,   4816,   5645,   6305,   7428,   9761, 
/* msg =   4195, deg =  7 */    106,   2714,   3353,   6348,   6380,   7908,   9356, 
/* msg =   4196, deg =  7 */    508,   3033,   3561,   5817,   5968,   7054,   9727, 
/* msg =   4197, deg =  7 */    619,   2837,   4343,   5057,   5400,   7820,   9762, 
/* msg =   4198, deg =  7 */   1604,   2478,   4833,   5592,   5833,   7308,   9228, 
/* msg =   4199, deg =  7 */    478,   3051,   3460,   5092,   6005,   6772,   9794, 
/* msg =   4200, deg =  7 */   1154,   2051,   3822,   5676,   6355,   7202,   9522, 
/* msg =   4201, deg =  7 */    496,   2297,   4566,   5857,   6628,   7994,   9891, 
/* msg =   4202, deg =  7 */    319,   1704,   4717,   5561,   6519,   6768,   9622, 
/* msg =   4203, deg =  7 */    824,   2778,   4267,   5078,   6454,   7469,   9733, 
/* msg =   4204, deg =  7 */   1214,   2835,   3804,   5174,   5942,   7334,   9323, 
/* msg =   4205, deg =  7 */    698,   1689,   3934,   5914,   6487,   8194,   9468, 
/* msg =   4206, deg =  7 */    136,   2825,   4339,   5863,   6584,   7790,   9303, 
/* msg =   4207, deg =  7 */   1592,   2935,   3908,   5403,   6228,   8208,   9515, 
/* msg =   4208, deg =  7 */   1449,   2707,   4410,   5625,   5842,   7027,   9871, 
/* msg =   4209, deg =  7 */    154,   2078,   4138,   5270,   5654,   6914,   9934, 
/* msg =   4210, deg =  7 */    446,   3219,   3510,   5009,   5257,   6950,   9236, 
/* msg =   4211, deg =  7 */    786,   2311,   3371,   5117,   5610,   7749,   9593, 
/* msg =   4212, deg =  7 */    409,   1801,   3790,   5485,   6345,   7835,   9558, 
/* msg =   4213, deg =  7 */    995,   2611,   4131,   5819,   6593,   7405,   9653, 
/* msg =   4214, deg =  7 */    441,   1954,   4329,   5440,   6224,   7873,   9155, 
/* msg =   4215, deg =  7 */    734,   2391,   4269,   5052,   5274,   7899,   9816, 
/* msg =   4216, deg =  7 */   1445,   2722,   3580,   5829,   6105,   7352,   9474, 
/* msg =   4217, deg =  7 */   1005,   2814,   4231,   5296,   5492,   7158,   9261, 
/* msg =   4218, deg =  7 */   1139,   1842,   4000,   5036,   5187,   7049,   9198, 
/* msg =   4219, deg =  7 */    754,   2275,   3338,   6237,   6576,   7898,   9206, 
/* msg =   4220, deg =  7 */    626,   1903,   3859,   5897,   6164,   7592,   9190, 
/* msg =   4221, deg =  7 */    937,   3014,   3590,   5421,   5548,   8150,   9342, 
/* msg =   4222, deg =  7 */    119,   1993,   4853,   6048,   6529,   6784,   9556, 
/* msg =   4223, deg =  7 */    214,   2785,   3929,   5722,   6545,   6994,   9820, 
/* msg =   4224, deg =  7 */   1323,   2701,   4334,   5331,   5875,   6658,   9435, 
/* msg =   4225, deg =  7 */    733,   3027,   4888,   6139,   6247,   7439,   9222, 
/* msg =   4226, deg =  7 */   1542,   2929,   4155,   5469,   6567,   8118,   9691, 
/* msg =   4227, deg =  7 */    223,   2044,   4198,   5730,   6196,   7987,   9623, 
/* msg =   4228, deg =  7 */    466,   1865,   3953,   5428,   5456,   7404,   9542, 
/* msg =   4229, deg =  7 */    429,   1828,   4499,   5072,   5283,   7399,   9476, 
/* msg =   4230, deg =  7 */   1576,   1664,   3466,   4996,   6192,   7489,   9739, 
/* msg =   4231, deg =  7 */   1209,   2604,   4953,   5712,   6182,   7880,   9439, 
/* msg =   4232, deg =  7 */   1441,   2799,   3418,   6163,   6596,   8067,   9646, 
/* msg =   4233, deg =  7 */    905,   1982,   4637,   6113,   6298,   6820,   9307, 
/* msg =   4234, deg =  7 */   1155,   2514,   3625,   5784,   6408,   7668,   9815, 
/* msg =   4235, deg =  7 */    833,   2939,   4560,   5736,   6374,   6972,   9800, 
/* msg =   4236, deg =  7 */    323,   1917,   4337,   5294,   5648,   6897,   9466, 
/* msg =   4237, deg =  7 */   1559,   1665,   4396,   6011,   6641,   7093,   9960, 
/* msg =   4238, deg =  7 */    752,   2676,   3538,   5037,   5871,   7696,   9158, 
/* msg =   4239, deg =  7 */   1100,   2213,   3818,   5077,   6171,   7050,   9235, 
/* msg =   4240, deg =  7 */   1500,   3069,   4548,   6075,   6462,   7827,   9517, 
/* msg =   4241, deg =  7 */   1422,   2571,   4122,   6032,   6093,   7082,   9838, 
/* msg =   4242, deg =  7 */    428,   3299,   4101,   5997,   6067,   6875,   9662, 
/* msg =   4243, deg =  7 */    702,   2087,   4570,   6499,   6551,   6771,   9640, 
/* msg =   4244, deg =  7 */   1244,   2871,   4316,   5298,   6321,   7578,   9788, 
/* msg =   4245, deg =  7 */   1351,   3309,   3332,   6081,   6276,   7720,   9313, 
/* msg =   4246, deg =  7 */    846,   1775,   4100,   6160,   6504,   6725,   9553, 
/* msg =   4247, deg =  7 */    189,   2651,   3503,   6569,   6602,   6878,   9620, 
/* msg =   4248, deg =  7 */    580,   1745,   3820,   6394,   6413,   7462,   9444, 
/* msg =   4249, deg =  7 */    304,   2694,   3724,   5146,   6586,   7978,   9785, 
/* msg =   4250, deg =  7 */   1431,   2089,   3516,   6222,   6568,   7247,   9489, 
/* msg =   4251, deg =  7 */    771,   3002,   3345,   4991,   5281,   7985,   9650, 
/* msg =   4252, deg =  7 */   1381,   3321,   3596,   5368,   5598,   7894,   9675, 
/* msg =   4253, deg =  7 */    278,   2253,   3362,   5070,   5209,   7926,   9227, 
/* msg =   4254, deg =  7 */     45,   3141,   4627,   5272,   5358,   8084,   9587, 
/* msg =   4255, deg =  7 */    235,   1904,   4903,   5998,   6129,   7474,   9870, 
/* msg =   4256, deg =  7 */    758,   2421,   3986,   5059,   6323,   6954,   9353, 
/* msg =   4257, deg =  7 */    484,   2189,   4331,   5652,   6518,   6786,   9944, 
/* msg =   4258, deg =  7 */   1131,   2233,   4700,   5788,   6230,   7825,   9611, 
/* msg =   4259, deg =  7 */   1561,   1743,   4838,   5051,   6577,   6895,   9810, 
/* msg =   4260, deg =  7 */   1496,   2703,   4437,   5232,   5918,   7323,   9809, 
/* msg =   4261, deg =  7 */   1227,   2928,   4478,   5247,   6510,   7974,   9936, 
/* msg =   4262, deg =  7 */    281,   3260,   3506,   5680,   6300,   7587,   9551, 
/* msg =   4263, deg =  7 */    667,   2310,   3635,   6420,   6616,   6921,   9387, 
/* msg =   4264, deg =  7 */    272,   3212,   3454,   5978,   6598,   7600,   9669, 
/* msg =   4265, deg =  7 */   1084,   2586,   3401,   5379,   6301,   6877,   9189, 
/* msg =   4266, deg =  7 */   1013,   1961,   4442,   6184,   6312,   7287,   9455, 
/* msg =   4267, deg =  7 */   1338,   2925,   3416,   6086,   6424,   7324,   9363, 
/* msg =   4268, deg =  7 */    321,   2023,   4319,   5266,   6198,   7316,   9535, 
/* msg =   4269, deg =  7 */    677,   1695,   4053,   5452,   6118,   6708,   9958, 
/* msg =   4270, deg =  7 */   1512,   2118,   4695,   5230,   5955,   7301,   9423, 
/* msg =   4271, deg =  7 */   1312,   3301,   4730,   5622,   5632,   8105,   9282, 
/* msg =   4272, deg =  7 */    607,   2102,   4445,   5096,   6272,   7537,   9272, 
/* msg =   4273, deg =  7 */   1232,   2107,   4294,   5053,   6337,   7570,   9618, 
/* msg =   4274, deg =  7 */   1179,   1783,   4808,   6462,   6620,   6946,   9166, 
/* msg =   4275, deg =  7 */    983,   2621,   3858,   5932,   6230,   7220,   9429, 
/* msg =   4276, deg =  7 */   1149,   1804,   4959,   5624,   6263,   7773,   9494, 
/* msg =   4277, deg =  7 */    230,   1854,   3678,   5030,   6488,   6945,   9415, 
/* msg =   4278, deg =  7 */     23,   3210,   4019,   5461,   6470,   6780,   9250, 
/* msg =   4279, deg =  7 */    774,   2872,   3566,   5586,   6127,   7881,   9742, 
/* msg =   4280, deg =  7 */     69,   2135,   4226,   5119,   6234,   8191,   9616, 
/* msg =   4281, deg =  7 */    481,   1762,   4001,   6025,   6038,   7903,   9909, 
/* msg =   4282, deg =  7 */    507,   2712,   3479,   5159,   6503,   7544,   9697, 
/* msg =   4283, deg =  7 */   1197,   2345,   4976,   5380,   6246,   6660,   9670, 
/* msg =   4284, deg =  7 */    494,   2851,   4021,   5234,   5610,   7777,   9500, 
/* msg =   4285, deg =  7 */    689,   3265,   4561,   5433,   5846,   7057,   9969, 
/* msg =   4286, deg =  7 */    673,   2456,   4469,   5063,   5331,   8098,   9887, 
/* msg =   4287, deg =  7 */   1650,   3083,   3876,   5318,   5456,   7305,   9915, 
/* msg =   4288, deg =  7 */    863,   2790,   3333,   5857,   6065,   7584,   9797, 
/* msg =   4289, deg =  7 */    209,   3056,   3524,   5286,   6610,   7509,   9839, 
/* msg =   4290, deg =  7 */   1162,   1973,   3394,   5278,   6367,   7906,   9214, 
/* msg =   4291, deg =  7 */   1240,   2374,   3861,   5222,   6451,   7403,   9774, 
/* msg =   4292, deg =  7 */    456,   2222,   4842,   6473,   6555,   7194,   9772, 
/* msg =   4293, deg =  7 */    357,   3081,   4030,   5909,   6291,   7896,   9257, 
/* msg =   4294, deg =  7 */   1237,   1802,   3904,   5620,   6412,   7929,   9738, 
/* msg =   4295, deg =  7 */   1659,   2877,   4384,   6188,   6350,   7210,   9510, 
/* msg =   4296, deg =  7 */   1199,   2546,   4793,   5667,   5923,   8156,   9590, 
/* msg =   4297, deg =  7 */    211,   1945,   3380,   5935,   6159,   7067,   9847, 
/* msg =   4298, deg =  7 */    827,   2036,   4671,   5161,   6576,   8264,   9514, 
/* msg =   4299, deg =  7 */    880,   2857,   4068,   5715,   5769,   7875,   9243, 
/* msg =   4300, deg =  7 */    274,   2647,   3505,   5410,   5593,   7264,   9324, 
/* msg =   4301, deg =  7 */    308,   2881,   4240,   5438,   6322,   6991,   9825, 
/* msg =   4302, deg =  7 */    546,   1928,   3797,   5871,   6153,   7473,   9843, 
/* msg =   4303, deg =  7 */    504,   1719,   3977,   5677,   5869,   7937,   9478, 
/* msg =   4304, deg =  7 */    654,   1749,   3705,   5069,   5315,   8129,   9450, 
/* msg =   4305, deg =  7 */   1290,   2009,   4032,   6037,   6308,   6651,   9173, 
/* msg =   4306, deg =  7 */    969,   3068,   3450,   5761,   6479,   8201,   9368, 
/* msg =   4307, deg =  7 */     78,   3314,   3325,   4989,   5825,   6682,   9678, 
/* msg =   4308, deg =  7 */    414,   2045,   4526,   5212,   5225,   7132,   9231, 
/* msg =   4309, deg =  7 */     52,   3048,   4322,   5181,   6420,   8231,   9580, 
/* msg =   4310, deg =  7 */   1493,   3109,   3945,   5172,   6485,   7525,   9335, 
/* msg =   4311, deg =  7 */    545,   2677,   4648,   6170,   6640,   7478,   9658, 
/* msg =   4312, deg =  7 */   1184,   2252,   4114,   5251,   5722,   7813,   9445, 
/* msg =   4313, deg =  7 */    883,   2445,   3586,   5481,   6468,   6727,   9591, 
/* msg =   4314, deg =  7 */    179,   2603,   3396,   5840,   6631,   7893,   9922, 
/* msg =   4315, deg =  7 */    871,   2566,   4915,   5026,   5790,   7023,   9491, 
/* msg =   4316, deg =  7 */    454,   1808,   3616,   5841,   5917,   6666,   9397, 
/* msg =   4317, deg =  7 */    149,   1766,   3531,   5191,   6480,   7832,   9674, 
/* msg =   4318, deg =  7 */    755,   1672,   4277,   5176,   5865,   7257,   9217, 
/* msg =   4319, deg =  7 */     26,   1737,   4158,   6574,   6618,   7867,   9680, 
/* msg =   4320, deg =  7 */   1385,   1882,   4002,   5142,   5363,   6674,   9528, 
/* msg =   4321, deg =  7 */   1006,   3187,   4557,   5776,   5926,   7321,   9459, 
/* msg =   4322, deg =  7 */    576,   2410,   4167,   5990,   6421,   7619,   9372, 
/* msg =   4323, deg =  7 */   1371,   3085,   4735,   5013,   5016,   7633,   9330, 
/* msg =   4324, deg =  7 */   1628,   1981,   4634,   5407,   5996,   7512,   9745, 
/* msg =   4325, deg =  7 */    112,   3000,   4575,   5077,   5131,   7108,   9380, 
/* msg =   4326, deg =  7 */    676,   2362,   4820,   5723,   6632,   7366,   9161, 
/* msg =   4327, deg =  7 */   1215,   1920,   4576,   5626,   5786,   7370,   9296, 
/* msg =   4328, deg =  7 */    287,   2047,   4302,   5929,   6475,   7291,   9428, 
/* msg =   4329, deg =  7 */   1585,   2698,   4509,   5039,   5689,   6653,   9612, 
/* msg =   4330, deg =  7 */     38,   1860,   3603,   5519,   6466,   8030,   9390, 
/* msg =   4331, deg =  7 */   1210,   2532,   3520,   5357,   6029,   8168,   9665, 
/* msg =   4332, deg =  7 */    807,   2756,   4753,   5093,   5839,   6793,   9304, 
/* msg =   4333, deg =  7 */    218,   2524,   3423,   5510,   6022,   7607,   9168, 
/* msg =   4334, deg =  7 */   1076,   2141,   3765,   5032,   5425,   7536,   9290, 
/* msg =   4335, deg =  7 */    992,   1669,   4722,   5311,   6418,   7831,   9149, 
/* msg =   4336, deg =  7 */   1289,   2073,   3731,   5838,   6372,   6865,   9145, 
/* msg =   4337, deg =  7 */    493,   2531,   3684,   5872,   5915,   7964,   9187, 
/* msg =   4338, deg =  7 */    558,   1756,   3419,   5567,   5671,   7860,   9355, 
/* msg =   4339, deg =  7 */    985,   2933,   4093,   5889,   6255,   7326,   9682, 
/* msg =   4340, deg =  7 */    724,   2729,   4149,   6445,   6541,   7751,   9950, 
/* msg =   4341, deg =  7 */    830,   2394,   4260,   5421,   6616,   7775,   9312, 
/* msg =   4342, deg =  7 */   1636,   2120,   4861,   6210,   6382,   7657,   9921, 
/* msg =   4343, deg =  7 */    250,   2630,   3359,   5931,   6071,   7981,   9325, 
/* msg =   4344, deg =  7 */    976,   2717,   4451,   5606,   5910,   6663,   9575, 
/* msg =   4345, deg =  7 */    987,   3093,   4884,   5371,   5813,   7110,   9305, 
/* msg =   4346, deg =  7 */   1360,   2179,   4785,   5965,   6031,   6899,   9919, 
/* msg =   4347, deg =  7 */    560,   2972,   4882,   5459,   6458,   7203,   9663, 
/* msg =   4348, deg =  7 */     85,   2919,   4964,   5301,   5659,   7166,   9512, 
/* msg =   4349, deg =  7 */   1114,   2215,   3973,   5188,   5542,   8176,   9775, 
/* msg =   4350, deg =  7 */   1021,   1906,   4421,   5025,   5568,   7688,   9388, 
/* msg =   4351, deg =  7 */    948,   3224,   3845,   5075,   6633,   6913,   9488, 
/* msg =   4352, deg =  7 */   1369,   2804,   3932,   6166,   6281,   7343,   9597, 
/* msg =   4353, deg =  7 */    152,   2721,   4380,   5625,   5757,   7365,   9310, 
/* msg =   4354, deg =  7 */    108,   1905,   4869,   5900,   6352,   8028,   9962, 
/* msg =   4355, deg =  7 */    458,   2221,   4248,   5497,   5583,   6932,   9804, 
/* msg =   4356, deg =  7 */    225,   1977,   3426,   6507,   6567,   7459,   9787, 
/* msg =   4357, deg =  7 */   1152,   2377,   3850,   5098,   5151,   6967,   9676, 
/* msg =   4358, deg =  7 */   1045,   2117,   4846,   5862,   6570,   7433,   9856, 
/* msg =   4359, deg =  7 */    355,   2158,   4898,   5227,   5802,   7735,   9748, 
/* msg =   4360, deg =  7 */   1499,   2633,   3343,   5042,   5537,   6826,   9233, 
/* msg =   4361, deg =  7 */    173,   2815,   3872,   5342,   5515,   7643,   9338, 
/* msg =   4362, deg =  7 */    516,   3108,   4697,   5185,   5485,   6843,   9498, 
/* msg =   4363, deg =  7 */    326,   2917,   4141,   5090,   6443,   7667,   9801, 
/* msg =   4364, deg =  7 */    397,   2685,   3783,   5148,   6250,   7097,   9505, 
/* msg =   4365, deg =  7 */   1236,   3319,   3513,   5083,   6283,   7634,   9711, 
/* msg =   4366, deg =  7 */      3,   1960,   3326,   5348,   5798,   7467,   9716, 
/* msg =   4367, deg =  7 */   1474,   1876,   4419,   5094,   6065,   7711,   9404, 
/* msg =   4368, deg =  7 */   1617,   1781,   4379,   5541,   5891,   8280,   9163, 
/* msg =   4369, deg =  7 */    303,   1918,   4540,   5767,   6108,   7868,   9955, 
/* msg =   4370, deg =  7 */    805,   2393,   3624,   5630,   5657,   7273,   9574, 
/* msg =   4371, deg =  7 */   1337,   2116,   3527,   5534,   6333,   7256,   9784, 
/* msg =   4372, deg =  7 */    847,   2396,   4881,   5746,   6484,   7655,   9534, 
/* msg =   4373, deg =  7 */   1091,   2152,   3324,   5970,   6043,   7259,   9715, 
/* msg =   4374, deg =  7 */   1487,   1873,   3473,   5140,   6411,   7083,   9968, 
/* msg =   4375, deg =  7 */    311,   3158,   3344,   5393,   6426,   7303,   9625, 
/* msg =   4376, deg =  7 */    343,   1817,   3508,   5105,   5526,   7177,   9568, 
/* msg =   4377, deg =  7 */    148,   3007,   4104,   5208,   6039,   7003,   9164, 
/* msg =   4378, deg =  7 */    722,   1720,   3383,   5182,   6191,   8101,   9180, 
/* msg =   4379, deg =  7 */    678,   2328,   4072,   5428,   5727,   7099,   9541, 
/* msg =   4380, deg =  7 */   1610,   2572,   4773,   5109,   6243,   7346,   9844, 
/* msg =   4381, deg =  7 */    381,   1848,   3662,   5258,   6407,   6753,   9582, 
/* msg =   4382, deg =  7 */   1367,   1761,   4690,   5373,   6252,   7048,   9869, 
/* msg =   4383, deg =  7 */    946,   2634,   3695,   5128,   6477,   7299,   9269, 
/* msg =   4384, deg =  7 */   1472,   2234,   3573,   5196,   5297,   7951,   9599, 
/* msg =   4385, deg =  7 */    703,   1859,   4715,   5513,   6490,   8153,   9340, 
/* msg =   4386, deg =  7 */    131,   1846,   4010,   5103,   5406,   6896,   9853, 
/* msg =   4387, deg =  7 */   1012,   2354,   3545,   5248,   5327,   8086,   9970, 
/* msg =   4388, deg =  7 */    491,   3049,   3782,   5799,   6425,   7244,   9781, 
/* msg =   4389, deg =  7 */    644,   2356,   4654,   5495,   6268,   7911,   9806, 
/* msg =   4390, deg =  7 */    593,   2811,   3447,   5461,   5668,   7705,   9389, 
/* msg =   4391, deg =  7 */   1156,   3291,   4060,   5355,   6354,   7075,   9823, 
/* msg =   4392, deg =  7 */    340,   2083,   4847,   6523,   6537,   7515,   9548, 
/* msg =   4393, deg =  7 */   1306,   1836,   3666,   5267,   6564,   7659,   9783, 
/* msg =   4394, deg =  7 */   1144,   1887,   4736,   6100,   6477,   8062,   9872, 
/* msg =   4395, deg =  7 */     24,   1708,   4441,   5980,   6137,   7272,   9720, 
/* msg =   4396, deg =  7 */    838,   2724,   3403,   6331,   6373,   7078,   9608, 
/* msg =   4397, deg =  7 */   1437,   2279,   4914,   5974,   6079,   7151,   9923, 
/* msg =   4398, deg =  7 */   1407,   2331,   3997,   5167,   6154,   7408,   9683, 
/* msg =   4399, deg =  7 */    599,   3060,   3543,   5381,   6478,   7258,   9192, 
/* msg =   4400, deg =  7 */    700,   2654,   3865,   5090,   6637,   6852,   9289, 
/* msg =   4401, deg =  7 */    911,   2464,   4515,   5640,   5708,   7453,   9798, 
/* msg =   4402, deg =  7 */   1274,   2251,   4902,   5879,   6267,   7191,   9604, 
/* msg =   4403, deg =  7 */   1637,   2175,   4862,   5184,   5564,   7726,   9369, 
/* msg =   4404, deg =  7 */   1004,   2955,   3767,   5121,   6446,   8046,   9524, 
/* msg =   4405, deg =  7 */    799,   1754,   4528,   6315,   6427,   7959,   9596, 
/* msg =   4406, deg =  7 */    431,   1800,   4877,   5018,   5179,   7879,   9666, 
/* msg =   4407, deg =  7 */    960,   3204,   4077,   5017,   6326,   7394,   9584, 
/* msg =   4408, deg =  7 */    548,   2761,   4338,   6033,   6132,   7818,   9479, 
/* msg =   4409, deg =  7 */   1492,   3169,   4133,   5332,   5952,   7322,   9371, 
/* msg =   4410, deg =  7 */    299,   2987,   3799,   6006,   6235,   8296,   9400, 
/* msg =   4411, deg =  7 */   1648,   1852,   3698,   5877,   6127,   6860,   9299, 
/* msg =   4412, deg =  7 */    437,   3196,   4740,   5999,   6403,   6962,   9311, 
/* msg =   4413, deg =  7 */    167,   2536,   3682,   5517,   5995,   7342,   9225, 
/* msg =   4414, deg =  7 */    768,   2665,   4407,   5015,   5748,   8177,   9946, 
/* msg =   4415, deg =  7 */    473,   2293,   4573,   5308,   6129,   7221,   9677, 
/* msg =   4416, deg =  7 */    438,   1840,   4792,   5016,   5740,   7586,   9780, 
/* msg =   4417, deg =  7 */    796,   2821,   4537,   5473,   6271,   7087,   9525, 
/* msg =   4418, deg =  7 */   1440,   2888,   4802,   5353,   6304,   7699,   9196, 
/* msg =   4419, deg =  7 */    330,   3157,   3750,   5595,   5618,   8041,   9346, 
/* msg =   4420, deg =  7 */   1173,   3317,   4630,   5632,   5849,   6911,   9251, 
/* msg =   4421, deg =  7 */   1518,   3276,   4981,   5772,   6169,   7501,   9308, 
/* msg =   4422, deg =  7 */   1552,   3226,   3406,   5455,   6342,   6756,   9463, 
/* msg =   4423, deg =  7 */    826,   2422,   3522,   5198,   6145,   7798,   9899, 
/* msg =   4424, deg =  7 */    989,   2686,   4668,   5726,   5874,   7450,   9561, 
/* msg =   4425, deg =  7 */    420,   3131,   4475,   5361,   6228,   6687,   9411, 
/* msg =   4426, deg =  7 */   1198,   2517,   4873,   5055,   5701,   7826,   9634, 
/* msg =   4427, deg =  7 */    500,   1810,   3386,   5322,   5519,   7363,   9967, 
/* msg =   4428, deg =  7 */    970,   3233,   3389,   6017,   6081,   7804,   9876, 
/* msg =   4429, deg =  7 */    178,   3249,   3593,   6522,   6540,   8055,   9508, 
/* msg =   4430, deg =  7 */   1164,   3123,   4309,   5606,   5792,   6948,   9152, 
/* msg =   4431, deg =  7 */   1654,   3209,   4626,   5094,   5840,   7047,   9628, 
/* msg =   4432, deg =  7 */    271,   2711,   4549,   5455,   5924,   7939,   9185, 
/* msg =   4433, deg =  7 */   1320,   2334,   4772,   5471,   5750,   6806,   9951, 
/* msg =   4434, deg =  7 */    393,   3029,   4079,   5164,   5913,   7157,   9481, 
/* msg =   4435, deg =  7 */    104,   2758,   4748,   5418,   5560,   7805,   9395, 
/* msg =   4436, deg =  7 */   1614,   1947,   4193,   6376,   6599,   6741,   9550, 
/* msg =   4437, deg =  7 */    648,   2171,   3773,   5074,   6431,   6870,   9531, 
/* msg =   4438, deg =  7 */   1507,   3009,   4839,   5820,   6171,   7034,   9606, 
/* msg =   4439, deg =  7 */     61,   2670,   4321,   6141,   6245,   8007,   9263, 
/* msg =   4440, deg =  7 */    151,   2016,   4562,   5220,   6647,   7781,   9314, 
/* msg =   4441, deg =  7 */   1353,   1714,   3639,   6082,   6102,   7636,   9419, 
/* msg =   4442, deg =  7 */    867,   2071,   4664,   5713,   6131,   7219,   9319, 
/* msg =   4443, deg =  7 */    267,   2482,   4129,   5466,   5870,   7396,   9457, 
/* msg =   4444, deg =  7 */    697,   1922,   4292,   5986,   6281,   7062,   9480, 
/* msg =   4445, deg =  7 */    591,   2240,   4468,   5614,   6471,   7374,   9453, 
/* msg =   4446, deg =  7 */    687,   2061,   4598,   5986,   6054,   7521,   9408, 
/* msg =   4447, deg =  7 */   1550,   2913,   3981,   5453,   6332,   7736,   9701, 
/* msg =   4448, deg =  7 */    720,   1890,   3846,   5597,   6553,   7686,   9914, 
/* msg =   4449, deg =  7 */   1242,   2218,   3779,   5971,   6546,   7136,   9229, 
/* msg =   4450, deg =  7 */   1048,   3245,   3429,   5929,   6251,   7426,   9849, 
/* msg =   4451, deg =  7 */   1157,   2600,   4089,   6161,   6515,   7107,   9360, 
/* msg =   4452, deg =  7 */    902,   3295,   3761,   5071,   6479,   6908,   9239, 
/* msg =   4453, deg =  7 */    471,   2419,   3994,   5039,   5281,   7943,   9276, 
/* msg =   4454, deg =  7 */   1043,   1835,   4049,   5612,   6130,   8060,   9741, 
/* msg =   4455, deg =  7 */   1368,   2836,   3391,   5085,   5547,   7661,   9234, 
/* msg =   4456, deg =  7 */    977,   1927,   3652,   5651,   6397,   7942,   9148, 
/* msg =   4457, deg =  7 */    476,   2435,   3829,   5516,   5634,   6728,   9867, 
/* msg =   4458, deg =  7 */   1038,   3035,   4642,   5737,   5864,   8065,   9758, 
/* msg =   4459, deg =  7 */    354,   2613,   4934,   5228,   6409,   7944,   9258, 
/* msg =   4460, deg =  7 */   1525,   2030,   4346,   5719,   6299,   8273,   9770, 
/* msg =   4461, deg =  7 */     73,   2018,   3935,   6238,   6453,   7239,   9811, 
/* msg =   4462, deg =  7 */    405,   2912,   4246,   5054,   6538,   7470,   9792, 
/* msg =   4463, deg =  7 */   1208,   3206,   4360,   5643,   6552,   7296,   9609, 
/* msg =   4464, deg =  7 */    363,   1773,   3907,   5114,   5694,   7224,   9309, 
/* msg =   4465, deg =  7 */    943,   2979,   3592,   5409,   5491,   6861,   9939, 
/* msg =   4466, deg =  7 */   1239,   2615,   3739,   5041,   6018,   6891,   9420, 
/* msg =   4467, deg =  7 */    606,   3186,   4361,   5470,   5773,   8297,   9141, 
/* msg =   4468, deg =  7 */    199,   2477,   4107,   6051,   6057,   8077,   9656, 
/* msg =   4469, deg =  7 */    921,   3250,   3809,   5207,   5939,   7116,   9652, 
/* msg =   4470, deg =  7 */    259,   3119,   3735,   5367,   6092,   7635,   9499, 
/* msg =   4471, deg =  7 */    531,   1847,   4157,   5520,   6087,   7149,   9240, 
/* msg =   4472, deg =  7 */   1267,   2296,   4416,   5513,   6224,   6782,   9692, 
/* msg =   4473, deg =  7 */    451,   1968,   3903,   6333,   6366,   7206,   9431, 
/* msg =   4474, deg =  7 */   1642,   2338,   4153,   5214,   5961,   8189,   9191, 
/* msg =   4475, deg =  7 */   1485,   2527,   4940,   5685,   6375,   6905,   9529, 
/* msg =   4476, deg =  7 */    265,   2629,   3336,   5142,   5458,   7895,   9345, 
/* msg =   4477, deg =  7 */    539,   2365,   4222,   5806,   6148,   8155,   9291, 
/* msg =   4478, deg =  7 */    325,   2523,   4417,   5726,   6155,   7128,   9495, 
/* msg =   4479, deg =  7 */   1391,   2994,   3546,   5800,   5945,   6685,   9952, 
/* msg =   4480, deg =  7 */   1174,   2848,   4082,   5287,   6087,   7040,   9908, 
/* msg =   4481, deg =  7 */    200,   3191,   4578,   5249,   6259,   8061,   9581, 
/* msg =   4482, deg =  7 */    421,   2592,   4503,   5892,   6263,   7255,   9824, 
/* msg =   4483, deg =  7 */   1404,   1666,   3502,   5476,   6600,   8063,   9142, 
/* msg =   4484, deg =  7 */    453,   3134,   4691,   5046,   5930,   7828,   9566, 
/* msg =   4485, deg =  7 */    665,   2217,   4731,   5262,   6483,   7072,   9259, 
/* msg =   4486, deg =  7 */    205,   3024,   3417,   5543,   6497,   6836,   9213, 
/* msg =   4487, deg =  7 */   1280,   2864,   4306,   5046,   5752,   7729,   9592, 
/* msg =   4488, deg =  7 */    263,   3137,   4434,   5189,   5352,   7962,   9160, 
/* msg =   4489, deg =  7 */   1658,   1853,   4954,   5873,   6565,   8308,   9545, 
/* msg =   4490, deg =  7 */   1653,   2649,   3631,   5289,   5960,   8053,   9737, 
/* msg =   4491, deg =  7 */    608,   1861,   4282,   6401,   6559,   7580,   9242, 
/* msg =   4492, deg =  7 */   1122,   1963,   3414,   5009,   5874,   7753,   9768, 
/* msg =   4493, deg =  7 */   1132,   2661,   4298,   5804,   6026,   7916,   9744, 
/* msg =   4494, deg =  7 */   1412,   3208,   3743,   5631,   6042,   6965,   9519, 
/* msg =   4495, deg =  7 */    642,   2308,   4142,   5203,   6314,   7144,   9752, 
/* msg =   4496, deg =  7 */   1350,   1951,   3638,   6098,   6217,   7590,   9177, 
/* msg =   4497, deg =  7 */    302,   3323,   3430,   5751,   6545,   6828,   9893, 
/* msg =   4498, deg =  7 */    246,   3179,   4048,   5767,   5912,   7627,   9527, 
/* msg =   4499, deg =  7 */    742,   2610,   4411,   5855,   5998,   8049,   9906, 
/* msg =   4500, deg =  7 */    174,   2914,   3459,   5419,   5994,   8136,   9667, 
/* msg =   4501, deg =  7 */    275,   3018,   4175,   5480,   5609,   7407,   9598, 
/* msg =   4502, deg =  7 */   1258,   2133,   3604,   5468,   5674,   7945,   9743, 
/* msg =   4503, deg =  7 */    572,   2384,   3807,   5593,   5614,   7139,   9461, 
/* msg =   4504, deg =  7 */   1571,   1942,   3571,   5451,   6590,   7795,   9949, 
/* msg =   4505, deg =  7 */     86,   2357,   3685,   5241,   5296,   7746,   9791, 
/* msg =   4506, deg =  7 */    373,   2194,   3752,   6137,   6151,   8018,   9497, 
/* msg =   4507, deg =  7 */   1615,   3316,   4800,   5022,   5566,   7549,   9144, 
/* msg =   4508, deg =  7 */    415,   2855,   3589,   5694,   5813,   7558,   9712, 
/* msg =   4509, deg =  7 */   1538,   2392,   4770,   5374,   5905,   8164,   9347, 
/* msg =   4510, deg =  7 */    465,   2312,   3645,   5931,   6233,   8282,   9186, 
/* msg =   4511, deg =  7 */    728,   2322,   4056,   5909,   6633,   7332,   9714, 
/* msg =   4512, deg =  7 */   1390,   2337,   4020,   5259,   6516,   7752,   9199, 
/* msg =   4513, deg =  7 */   1513,   3099,   4192,   5521,   5680,   7265,   9695, 
/* msg =   4514, deg =  7 */    567,   1782,   4168,   5649,   6260,   7275,   9868, 
/* msg =   4515, deg =  7 */    295,   3136,   3823,   5143,   5739,   8289,   9710, 
/* msg =   4516, deg =  7 */   1288,   1934,   4531,   5385,   5829,   7747,   9169, 
/* msg =   4517, deg =  7 */    699,   3079,   4863,   5026,   5324,   7500,   9394, 
/* msg =   4518, deg =  7 */   1400,   2155,   3914,   5794,   6270,   7227,   9773, 
/* msg =   4519, deg =  7 */   1473,   1774,   3422,   5031,   5066,   8232,   9713, 
/* msg =   4520, deg =  7 */    695,   2029,   3632,   5464,   5709,   6987,   9637, 
/* msg =   4521, deg =  7 */   1342,   3128,   4186,   5423,   5835,   7028,   9687, 
/* msg =   4522, deg =  7 */   1426,   2668,   4493,   5344,   5585,   7051,   9278, 
/* msg =   4523, deg =  7 */    765,   3115,   4545,   5512,   6359,   8130,   9860, 
/* msg =   4524, deg =  7 */    377,   2130,   3413,   5108,   5577,   7111,   9153, 
/* msg =   4525, deg =  7 */    559,   2048,   3983,   6015,   6352,   8056,   9890, 
/* msg =   4526, deg =  7 */    980,   2842,   3400,   5448,   6283,   7576,   9964, 
/* msg =   4527, deg =  7 */   1410,   2246,   3856,   6183,   6290,   6726,   9434, 
/* msg =   4528, deg =  7 */     93,   2192,   3537,   5157,   6090,   6683,   9300, 
/* msg =   4529, deg =  7 */    660,   2426,   4771,   5261,   6436,   7152,   9286, 
/* msg =   4530, deg =  7 */   1284,   3200,   3944,   5581,   6573,   7002,   9589, 
/* msg =   4531, deg =  7 */    620,   2021,   4482,   5895,   6639,   6697,   9275, 
/* msg =   4532, deg =  7 */    408,   2208,   4762,   5578,   5864,   7401,   9633, 
/* msg =   4533, deg =  7 */   1268,   1717,   3702,   5789,   6255,   6773,   9252, 
/* msg =   4534, deg =  7 */    787,   1780,   3952,   5437,   6487,   8219,   9475, 
/* msg =   4535, deg =  7 */    249,   2675,   4293,   5437,   5876,   8023,   9382, 
/* msg =   4536, deg =  7 */    957,   3070,   4710,   5350,   6486,   6744,   9552, 
/* msg =   4537, deg =  7 */    820,   1833,   4257,   6160,   6265,   8180,   9747, 
/* msg =   4538, deg =  7 */   1099,   2180,   3833,   5534,   5644,   7278,   9511, 
/* msg =   4539, deg =  7 */    194,   3289,   4102,   6005,   6631,   7869,   9238, 
/* msg =   4540, deg =  7 */   1347,   2411,   4777,   5702,   5762,   8272,   9892, 
/* msg =   4541, deg =  7 */   1001,   2522,   3567,   5395,   6026,   7491,   9506, 
/* msg =   4542, deg =  7 */    855,   2754,   3885,   5756,   5984,   7009,   9326, 
/* msg =   4543, deg =  7 */   1250,   1797,   3950,   5063,   6214,   6731,   9287, 
/* msg =   4544, deg =  7 */   1529,   2760,   4984,   5310,   6354,   7413,   9343, 
/* msg =   4545, deg =  7 */   1094,   2730,   4265,   5424,   6172,   8096,   9399, 
/* msg =   4546, deg =  7 */    353,   2093,   4109,   5623,   6405,   6677,   9383, 
/* msg =   4547, deg =  7 */   1259,   2223,   4330,   5293,   5795,   7168,   9557, 
/* msg =   4548, deg =  7 */   1116,   1765,   4492,   5634,   6187,   6919,   9764, 
/* msg =   4549, deg =  7 */    133,   3294,   4480,   5215,   5970,   8076,   9644, 
/* msg =   4550, deg =  7 */   1088,   1931,   3763,   5169,   5658,   6898,   9172, 
/* msg =   4551, deg =  7 */   1329,   3303,   4928,   6088,   6168,   7477,   9176, 
/* msg =   4552, deg =  7 */     53,   2343,   4554,   5507,   6209,   8227,   9903, 
/* msg =   4553, deg =  7 */    416,   2951,   3442,   5607,   6152,   7423,   9943, 
/* msg =   4554, deg =  7 */   1311,   3185,   4801,   5755,   6232,   7102,   9851, 
/* msg =   4555, deg =  7 */    469,   2406,   4241,   5856,   6168,   7523,   9260, 
/* msg =   4556, deg =  7 */   1335,   2787,   3828,   5617,   5660,   7035,   9698, 
/* msg =   4557, deg =  7 */    412,   2197,   3485,   5316,   6229,   7329,   9941, 
/* msg =   4558, deg =  7 */    894,   2641,   3598,   6032,   6596,   6810,   9879, 
/* msg =   4559, deg =  7 */    884,   1891,   4172,   4986,   6091,   7020,   9812, 
/* msg =   4560, deg =  7 */    716,   2380,   4435,   5139,   5145,   7481,   9731, 
/* msg =   4561, deg =  7 */    756,   2004,   4005,   5388,   5389,   7510,   9655, 
/* msg =   4562, deg =  7 */   1331,   2659,   3893,   6201,   6325,   7768,   9639, 
/* msg =   4563, deg =  7 */    881,   3144,   4943,   5151,   6340,   8187,   9799, 
/* msg =   4564, deg =  7 */    344,   1759,   3675,   5687,   5823,   7362,   9709, 
/* msg =   4565, deg =  7 */    841,   2833,   3734,   5502,   6581,   7444,   9626, 
/* msg =   4566, deg =  7 */   1433,   2108,   3574,   5168,   5793,   7814,   9728, 
/* msg =   4567, deg =  7 */    773,   2932,   3764,   6054,   6370,   8117,   9503, 
/* msg =   4568, deg =  7 */    570,   2974,   3716,   5392,   5441,   6781,   9966, 
/* msg =   4569, deg =  7 */   1352,   2624,   4956,   5841,   5991,   7197,   9477, 
/* msg =   4570, deg =  7 */   1596,   3240,   4660,   5229,   6236,   7192,   9837, 
/* msg =   4571, deg =  7 */   1085,   2705,   3501,   5750,   6033,   7857,   9866, 
/* msg =   4572, deg =  7 */   1307,   2784,   4633,   5262,   5539,   6819,   9392, 
/* msg =   4573, deg =  7 */    865,   1925,   4285,   5701,   6374,   6855,   9789, 
/* msg =   4574, deg =  7 */   1252,   2378,   4498,   5569,   6265,   6966,   9297, 
/* msg =   4575, deg =  7 */    372,   2228,   4470,   6036,   6519,   8125,   9544, 
/* msg =   4576, deg =  7 */    649,   3089,   3759,   5783,   5826,   7113,   9472, 
/* msg =   4577, deg =  7 */   1446,   3001,   4787,   6035,   6430,   7637,   9700, 
/* msg =   4578, deg =  7 */    501,   2115,   3720,   5670,   6369,   7225,   9467, 
/* msg =   4579, deg =  7 */   1558,   2151,   4111,   4997,   5446,   6774,   9937, 
/* msg =   4580, deg =  7 */    142,   2329,   4180,   5106,   5596,   6825,   9195, 
/* msg =   4581, deg =  7 */    245,   2499,   4211,   5131,   6091,   7697,   9679, 
/* msg =   4582, deg =  7 */    434,   2931,   3483,   5479,   5628,   7767,   9726, 
/* msg =   4583, deg =  7 */    741,   2292,   3609,   6299,   6608,   7922,   9321, 
/* msg =   4584, deg =  7 */    192,   2186,   4533,   5040,   5650,   6912,   9885, 
/* msg =   4585, deg =  7 */    145,   2019,   4103,   5243,   6489,   7071,   9362, 
/* msg =   4586, deg =  7 */     17,   2140,   3606,   5989,   6385,   7799,   9842, 
/* msg =   4587, deg =  7 */    958,   2376,   4980,   5153,   6636,   7762,   9267, 
/* msg =   4588, deg =  7 */   1121,   2826,   4393,   5800,   5899,   7017,   9157, 
/* msg =   4589, deg =  7 */   1036,   2462,   3424,   5895,   6103,   7292,   9437, 
/* msg =   4590, deg =  7 */     83,   2244,   3776,   5920,   5978,   8014,   9821, 
/* msg =   4591, deg =  7 */   1442,   2870,   4733,   5019,   6134,   7692,   9861, 
/* msg =   4592, deg =  7 */   1553,   2398,   4759,   5136,   6336,   6933,   9348, 
/* msg =   4593, deg =  7 */    945,   1843,   4479,   5141,   5390,   7997,   9617, 
/* msg =   4594, deg =  7 */     37,   2691,   4041,   5503,   5693,   8113,   9942, 
/* msg =   4595, deg =  7 */    882,   2515,   4542,   5268,   5341,   7228,   9413, 
/* msg =   4596, deg =  7 */   1102,   2840,   4766,   5623,   6169,   7957,   9245, 
/* msg =   4597, deg =  7 */   1111,   2266,   4752,   5949,   6585,   7207,   9719, 
/* msg =   4598, deg =  7 */   1573,   2245,   4760,   6209,   6494,   7719,   9516, 
/* msg =   4599, deg =  7 */    337,   2816,   4011,   5351,   6222,   6961,   9749, 
/* msg =   4600, deg =  7 */   1551,   2555,   3774,   6314,   6490,   7336,   9188, 
/* msg =   4601, deg =  7 */    175,   2918,   4118,   5366,   5941,   7126,   9717, 
/* msg =   4602, deg =  7 */    150,   2922,   3455,   6186,   6357,   7497,   9193, 
/* msg =   4603, deg =  7 */   1479,   2075,   4383,   5075,   5868,   8269,   9447, 
/* msg =   4604, deg =  7 */    243,   2161,   4755,   5329,   5374,   7672,   9159, 
/* msg =   4605, deg =  7 */    338,   1688,   3694,   5397,   5771,   8274,   9760, 
/* msg =   4606, deg =  7 */   1010,   1692,   3989,   5356,   5538,   7331,   9610, 
/* msg =   4607, deg =  7 */    663,   2298,   4599,   5835,   6154,   6816,   9706, 
/* msg =   4608, deg =  7 */    685,   2243,   3812,   5981,   6098,   6679,   9436, 
/* msg =   4609, deg =  7 */   1176,   2878,   3852,   5095,   5167,   7053,   9776, 
/* msg =   4610, deg =  7 */    939,   1693,   4117,   6192,   6447,   7137,   9564, 
/* msg =   4611, deg =  7 */    279,   2424,   4784,   5798,   5940,   8082,   9911, 
/* msg =   4612, deg =  7 */    935,   2318,   4506,   5027,   5689,   7454,   9918, 
/* msg =   4613, deg =  7 */    162,   3263,   4463,   5214,   6411,   8094,   9246, 
/* msg =   4614, deg =  7 */    726,   2348,   3998,   6138,   6521,   7485,   9802, 
/* msg =   4615, deg =  7 */   1581,   1845,   4525,   5129,   6377,   6867,   9668, 
/* msg =   4616, deg =  7 */   1247,   3021,   4743,   5081,   5969,   7842,   9889, 
/* msg =   4617, deg =  7 */   1562,   2596,   3741,   6084,   6296,   7518,   9938, 
/* msg =   4618, deg =  7 */     72,   2360,   4719,   6399,   6554,   6711,   9539, 
/* msg =   4619, deg =  7 */   1292,   2074,   4763,   5511,   5812,   7381,   9486, 
/* msg =   4620, deg =  7 */    547,   3175,   4885,   5828,   6311,   7441,   9803, 
/* msg =   4621, deg =  7 */   1411,   3082,   4059,   5057,   5282,   7625,   9253, 
/* msg =   4622, deg =  7 */   1396,   3216,   4546,   5792,   6380,   7496,   9417, 
/* msg =   4623, deg =  7 */    831,   2008,   4564,   5948,   6162,   8070,   9624, 
/* msg =   4624, deg =  7 */    376,   3016,   3744,   6500,   6629,   7096,   9285, 
/* msg =   4625, deg =  7 */    217,   2405,   4737,   6634,   6637,   8288,   9210, 
/* msg =   4626, deg =  7 */    994,   2510,   4327,   5206,   5616,   8254,   9219, 
/* msg =   4627, deg =  7 */   1050,   1944,   3378,   5783,   6578,   7540,   9940, 
/* msg =   4628, deg =  7 */      2,   2459,   4143,   5020,   6167,   7976,   9696, 
/* msg =   4629, deg =  7 */    125,   3038,   4568,   5097,   5979,   7175,   9409, 
/* msg =   4630, deg =  7 */    270,   2619,   3703,   5152,   6274,   7612,   9357, 
/* msg =   4631, deg =  7 */   1554,   2863,   3514,   6343,   6348,   7076,   9819, 
/* msg =   4632, deg =  7 */   1541,   1955,   3955,   5236,   5966,   7892,   9795, 
/* msg =   4633, deg =  7 */   1452,   2800,   4355,   6004,   6023,   6706,   9828, 
/* msg =   4634, deg =  7 */     28,   2242,   3794,   5199,   6278,   7186,   9538, 
/* msg =   4635, deg =  7 */   1578,   2961,   4220,   5133,   6193,   8190,   9961, 
/* msg =   4636, deg =  7 */    110,   3152,   4070,   5079,   6534,   7666,   9271, 
/* msg =   4637, deg =  7 */    362,   2664,   3572,   5137,   5681,   8302,   9274, 
/* msg =   4638, deg =  7 */     50,   2412,   4387,   5707,   6344,   7310,   9614, 
/* msg =   4639, deg =  7 */    575,   1988,   4165,   5103,   5257,   6654,   9391, 
/* msg =   4640, deg =  7 */    675,   2489,   3536,   5238,   5401,   7468,   9487, 
/* msg =   4641, deg =  7 */   1037,   2172,   4342,   5003,   6183,   7120,   9331, 
/* msg =   4642, deg =  7 */   1635,   2401,   4345,   5458,   6068,   8213,   9563, 
/* msg =   4643, deg =  7 */    239,   3242,   3970,   5102,   5186,   6868,   9178, 
/* msg =   4644, deg =  7 */    301,   1915,   3463,   5824,   6285,   7429,   9507, 
/* msg =   4645, deg =  7 */    721,   2268,   3971,   5000,   6085,   7763,   9956, 
/* msg =   4646, deg =  7 */   1476,   2274,   4909,   5888,   6358,   7495,   9673, 
/* msg =   4647, deg =  7 */    122,   2247,   4287,   5657,   6309,   7794,   9316, 
/* msg =   4648, deg =  7 */   1002,   3071,   4046,   5032,   6388,   7036,   9446, 
/* msg =   4649, deg =  7 */     62,   1832,   4489,   5412,   5747,   7531,   9585, 
/* msg =   4650, deg =  7 */   1203,   3106,   3619,   6036,   6389,   8167,   9751, 
/* msg =   4651, deg =  7 */   1086,   2656,   3441,   5682,   5842,   7648,   9874, 
/* msg =   4652, deg =  7 */    834,   2359,   4937,   5183,   6024,   7560,   9729, 
/* msg =   4653, deg =  7 */    419,   2027,   3835,   5272,   6009,   8304,   9320, 
/* msg =   4654, deg =  7 */   1047,   3310,   3808,   5068,   5980,   7378,   9721, 
/* msg =   4655, deg =  7 */    719,   3201,   4663,   5318,   5720,   7507,   9350, 
/* msg =   4656, deg =  7 */   1110,   1729,   4611,   5434,   6242,   7384,   9485, 
/* msg =   4657, deg =  7 */    707,   2981,   4713,   6173,   6547,   8172,   9897, 
/* msg =   4658, deg =  7 */    934,   2159,   4582,   5104,   5570,   7548,   9769, 
/* msg =   4659, deg =  7 */   1598,   2153,   4899,   5086,   5312,   8116,   9374, 
/* msg =   4660, deg =  7 */    574,   1990,   4223,   5944,   6262,   7300,   9385, 
/* msg =   4661, deg =  7 */   1439,   2235,   4670,   5603,   6547,   7737,   9337, 
/* msg =   4662, deg =  7 */   1563,   2618,   3863,   5120,   5939,   7306,   9416, 
/* msg =   4663, deg =  7 */   1539,   3022,   4044,   5166,   5940,   7782,   9244, 
/* msg =   4664, deg =  7 */    352,   2568,   3568,   5401,   6128,   8285,   9822, 
/* msg =   4665, deg =  7 */    637,   1681,   3854,   5710,   6428,   7061,   9854, 
/* msg =   4666, deg =  7 */   1075,   1722,   4918,   5265,   5594,   6824,   9364, 
/* msg =   4667, deg =  7 */   1318,   2789,   3560,   5261,   5847,   7328,   9779, 
/* msg =   4668, deg =  7 */    306,   2745,   3730,   6061,   6156,   7935,   9638, 
/* msg =   4669, deg =  7 */   1537,   1663,   3742,   5377,   6068,   7561,   9412, 
/* msg =   4670, deg =  7 */    180,   3248,   4308,   5076,   6520,   8044,   9757, 
/* msg =   4671, deg =  7 */   1482,   2735,   4972,   5381,   5897,   7001,   9965, 
/* msg =   4672, deg =  7 */   1657,   2355,   4825,   5999,   6327,   8159,   9318, 
/* msg =   4673, deg =  7 */    873,   2771,   3762,   5732,   5876,   6770,   9456, 
/* msg =   4674, deg =  7 */   1030,   2056,   3548,   5414,   5875,   7121,   9237, 
/* msg =   4675, deg =  7 */    993,   1790,   4682,   6290,   6531,   7865,   9796, 
/* msg =   4676, deg =  7 */    740,   2381,   4448,   5155,   5778,   7254,   9902, 
/* msg =   4677, deg =  7 */   1547,   2168,   4261,   5716,   6579,   6851,   9659, 
/* msg =   4678, deg =  7 */    312,   3117,   4505,   5489,   5735,   7445,   9830, 
/* msg =   4679, deg =  7 */   1456,   3135,   3613,   6338,   6606,   6796,   9151, 
/* msg =   4680, deg =  7 */   1256,   2278,   3927,   5959,   6176,   6648,   9493, 
/* msg =   4681, deg =  7 */   1613,   2340,   3834,   5957,   6503,   8103,   9878, 
/* msg =   4682, deg =  7 */   1249,   3101,   3946,   5087,   5259,   7927,   9898, 
/* msg =   4683, deg =  7 */    298,   1895,   4819,   6190,   6392,   8019,   9765, 
/* msg =   4684, deg =  7 */   1611,   2188,   4003,   5385,   6020,   7506,   9863, 
/* msg =   4685, deg =  7 */    115,   1799,   3533,   5340,   5342,   7311,   9315, 
/* msg =   4686, deg =  7 */   1140,   2184,   4035,   5662,   6622,   7487,   9641, 
/* msg =   4687, deg =  7 */    587,   2583,   4788,   5128,   6294,   6823,   9570, 
/* msg =   4688, deg =  7 */     11,   2770,   4252,   5095,   6627,   7626,   9645, 
/* msg =   4689, deg =  7 */   1366,   2260,   3496,   5183,   5429,   7709,   9266, 
/* msg =   4690, deg =  7 */   1243,   2519,   4336,   5382,   6124,   6698,   9927, 
/* msg =   4691, deg =  7 */   1417,   2927,   3947,   6384,   6414,   8262,   9212, 
/* msg =   4692, deg =  7 */    794,   2269,   3899,   5181,   5987,   6800,   9197, 
/* msg =   4693, deg =  7 */   1014,   2371,   3999,   5179,   5845,   7541,   9651, 
/* msg =   4694, deg =  7 */   1595,   2350,   4776,   5807,   5862,   8143,   9378, 
/* msg =   4695, deg =  7 */    511,   1841,   3949,   6455,   6598,   8015,   9255, 
/* msg =   4696, deg =  7 */   1151,   3213,   4892,   5651,   6502,   6735,   9352, 
/* msg =   4697, deg =  7 */    825,   1969,   4577,   5242,   5418,   7065,   9424, 
/* msg =   4698, deg =  7 */   1251,   1767,   4125,   5925,   6199,   8140,   9469, 
/* msg =   4699, deg =  7 */    130,   2091,   3729,   5616,   6512,   7032,   9660, 
/* msg =   4700, deg =  7 */    797,   3271,   4848,   5124,   5618,   7816,   9657, 
/* msg =   4701, deg =  7 */    917,   1850,   4365,   5637,   6125,   7400,   9848, 
/* msg =   4702, deg =  7 */   1272,   2885,   3974,   5224,   5501,   6938,   9833, 
/* msg =   4703, deg =  7 */   1555,   2224,   3668,   5068,   5248,   6738,   9471, 
/* msg =   4704, deg =  7 */    964,   2042,   4683,   6259,   6316,   7052,   9484, 
/* msg =   4705, deg =  7 */     87,   1875,   4332,   6550,   6558,   6986,   9501, 
/* msg =   4706, deg =  7 */    490,   1871,   3689,   5595,   5885,   7064,   9850, 
/* msg =   4707, deg =  7 */   1634,   3283,   4729,   5362,   6045,   7436,   9827, 
/* msg =   4708, deg =  7 */   1564,   3034,   4488,   5162,   6415,   6813,   9928, 
/* msg =   4709, deg =  7 */   1357,   2006,   4732,   5684,   5967,   7732,   9344, 
/* msg =   4710, deg =  7 */   1372,   1952,   3404,   5031,   5205,   7276,   9270, 
/* msg =   4711, deg =  7 */    198,   1687,   4895,   5525,   6406,   7760,   9165, 
/* msg =   4712, deg =  7 */   1211,   2954,   3938,   5298,   6590,   8079,   9583, 
/* msg =   4713, deg =  7 */    839,   1894,   3926,   5602,   6423,   6922,   9631, 
/* msg =   4714, deg =  7 */   1229,   1971,   4164,   5445,   6304,   7290,   9410, 
/* msg =   4715, deg =  7 */    316,   2602,   4250,   5033,   5821,   6787,   9432, 
/* msg =   4716, deg =  7 */   1282,   2134,   4310,   5180,   5297,   7598,   9831, 
/* msg =   4717, deg =  7 */   1169,   1769,   4006,   5182,   5994,   7418,   9533, 
/* msg =   4718, deg =  7 */    183,   2125,   3576,   5933,   6273,   8204,   9896, 
/* msg =   4719, deg =  7 */   1463,   3167,   4745,   5900,   6258,   7313,   9957, 
/* msg =   4720, deg =  7 */    216,   2248,   4353,   5036,   5510,   7205,   9832, 
/* msg =   4721, deg =  7 */    781,   2549,   4280,   5043,   5398,   6926,   9945, 
/* msg =   4722, deg =  7 */   1074,   2059,   4474,   5196,   5345,   7680,   9703, 
/* msg =   4723, deg =  7 */    868,   1936,   4216,   6050,   6560,   8148,   9379, 
/* msg =   4724, deg =  7 */   1141,   1953,   4073,   5711,   5907,   8239,   9895, 
/* msg =   4725, deg =  7 */     57,   2513,   3785,   5560,   6417,   7359,   9807, 
/* msg =   4726, deg =  7 */   1052,   2287,   4374,   5346,   5390,   8307,   9216, 
/* msg =   4727, deg =  7 */    254,   3054,   3368,   5579,   6329,   7725,   9883, 
/* msg =   4728, deg =  7 */   1063,   1770,   4734,   6123,   6619,   8127,   9376, 
/* msg =   4729, deg =  7 */   1003,   2614,   4377,   5607,   6378,   6754,   9530, 
/* msg =   4730, deg =  7 */    784,   1959,   3992,   5562,   5599,   8003,   9829, 
/* msg =   4731, deg =  7 */    334,   2336,   4398,   5001,   5330,   6804,   9894, 
/* msg =   4732, deg =  7 */    670,   1721,   3671,   5022,   5559,   7722,   9763, 
/* msg =   4733, deg =  7 */    196,   1899,   4782,   5413,   5633,   7379,   9226, 
/* msg =   4734, deg =  7 */   1652,   1940,   4910,   5670,   6195,   7764,   9532, 
/* msg =   4735, deg =  7 */    683,   2339,   4281,   5910,   6328,   7446,   9619, 
/* msg =   4736, deg =  7 */   1230,   3270,   3388,   5896,   6342,   6752,   9907, 
/* msg =   4737, deg =  7 */   1394,   2969,   3658,   5691,   5728,   7250,   9358, 
/* msg =   4738, deg =  7 */    612,   2726,   4581,   6219,   6328,   7581,   9746, 
/* msg =   4739, deg =  7 */   1246,   2460,   4530,   6184,   6556,   7704,   9279, 
/* msg =   4740, deg =  7 */    155,   2137,   3469,   5852,   6274,   7277,   9929, 
/* msg =   4741, deg =  7 */   1403,   2444,   4161,   5912,   6243,   7162,   9264, 
/* msg =   4742, deg =  7 */   1078,   2822,   4139,   4995,   5074,   7437,   9209, 
/* msg =   4743, deg =  7 */    114,   2062,   3841,   6024,   6041,   7728,   9689, 
/* msg =   4744, deg =  7 */    890,   2786,   4635,   5349,   5878,   7349,   9354, 
/* msg =   4745, deg =  7 */   1588,   2845,   3440,   6227,   6532,   6848,   9818, 
/* msg =   4746, deg =  7 */   1135,   2988,   4803,   5661,   5698,   7883,   9171, 
/* msg =   4747, deg =  7 */    739,   2672,   3825,   5325,   5860,   7727,   9947, 
/* msg =   4748, deg =  7 */   1566,   2732,   4424,   5653,   6575,   8220,   9162, 
/* msg =   4749, deg =  7 */    853,   2716,   4680,   5753,   6288,   7268,   9571, 
/* msg =   4750, deg =  7 */    497,   2099,   4497,   5073,   6399,   6960,   9595, 
/* msg =   4751, deg =  7 */   1327,   2666,   3530,   5300,   6099,   7708,   9688, 
/* msg =   4752, deg =  7 */   1608,   1691,   3534,   5474,   5619,   7811,   9398, 
/* msg =   4753, deg =  7 */   1478,   2206,   4481,   5754,   6300,   6968,   9693, 
/* msg =   4754, deg =  7 */    603,   2067,   4247,   5354,   5563,   7864,   9905, 
/* msg =   4755, deg =  7 */    718,   2616,   4350,   6135,   6448,   7573,   9681, 
/* msg =   4756, deg =  7 */   1238,   2824,   4653,   5160,   5255,   6900,   9777, 
/* msg =   4757, deg =  7 */     29,   2484,   3518,   5427,   6520,   7923,   9565, 
/* msg =   4758, deg =  7 */    553,   1930,   4076,   5482,   6074,   7966,   9183, 
/* msg =   4759, deg =  7 */   1287,   1786,   3329,   5540,   6199,   7493,   9736, 
/* msg =   4760, deg =  7 */    342,   2342,   4795,   5156,   5235,   8083,   9750, 
/* msg =   4761, deg =  7 */    860,   3217,   3795,   5145,   5277,   7039,   9418, 
/* msg =   4762, deg =  7 */   1055,   2109,   4290,   5484,   5530,   7687,   9846, 
/* msg =   4763, deg =  7 */    727,   1923,   4592,   5716,   6266,   6929,   9496, 
/* msg =   4764, deg =  7 */   1631,   3145,   4502,   5760,   6492,   8303,   9403, 
/* msg =   4765, deg =  7 */      6,   1778,   3916,   5165,   6112,   6750,   9426, 
/* msg =   4766, deg =  7 */    658,   1667,   3515,   5180,   5325,   7240,   9836, 
/* msg =   4767, deg =  7 */    195,   2055,   4405,   5546,   6531,   6720,   9181, 
/* msg =   4768, deg =  7 */    862,   2643,   4461,   5927,   6147,   6668,   9329, 
/* msg =   4769, deg =  7 */    812,   2057,   3976,   5878,   6416,   8121,   9373, 
/* msg =   4770, deg =  7 */   1145,   2989,   4318,   5415,   6502,   7953,   9932, 
/* msg =   4771, deg =  7 */   1170,   2402,   4590,   5954,   6062,   7970,   9917, 
/* msg =   4772, deg =  7 */    257,   1998,   4718,   5045,   5839,   6746,   9201, 
/* msg =   4773, deg =  7 */    286,   2971,   4765,   5703,   6323,   6689,   9504, 
/* msg =   4774, deg =  7 */    664,   1924,   3948,   5005,   5034,   7085,   9931, 
/* msg =   4775, deg =  7 */    671,   3197,   4721,   5764,   6589,   7553,   9365, 
/* msg =   4776, deg =  7 */   1526,   3307,   4601,   5129,   5925,   6732,   9438, 
/* msg =   4777, deg =  7 */    629,   2069,   4511,   5395,   6528,   7967,   9793, 
/* msg =   4778, deg =  7 */    723,   2053,   3888,   5079,   6412,   7905,   9567, 
/* msg =   4779, deg =  7 */   1008,   2095,   4378,   5806,   6213,   7385,   9414, 
/* msg =   4780, deg =  7 */    101,   2466,   3374,   5175,   5993,   6881,   9523, 
/* msg =   4781, deg =  7 */    514,   3195,   4182,   5295,   6591,   7320,   9594, 
/* msg =   4782, deg =  7 */    783,   2169,   4253,   5112,   5443,   8139,   9351, 
/* msg =   4783, deg =  7 */    745,   2718,   4789,   5211,   5889,   7089,   9855, 
/* msg =   4784, deg =  7 */   1453,   1803,   3891,   5943,   6579,   6815,   9753, 
/* msg =   4785, deg =  7 */    877,   1866,   3969,   5236,   6208,   8192,   9224, 
/* msg =   4786, deg =  7 */   1105,   2261,   3815,   5695,   6561,   7068,   9248, 
/* msg =   4787, deg =  7 */    425,   2509,   3663,   6099,   6165,   6947,   9294, 
/* msg =   4788, deg =  7 */   1079,   2128,   3805,   5696,   6158,   6767,   9702, 
/* msg =   4789, deg =  7 */    423,   1750,   4366,   5189,   5659,   6940,   9578, 
/* msg =   4790, deg =  7 */   1103,   2521,   4038,   4996,   5383,   7106,   9767, 
/* msg =   4791, deg =  7 */    164,   1733,   3701,   5619,   6625,   7215,   9707, 
/* msg =   4792, deg =  7 */    332,   2285,   4923,   5604,   6463,   7610,   9858, 
/* msg =   4793, deg =  7 */   1185,   1699,   4744,   5038,   5249,   7565,   9913, 
/* msg =   4794, deg =  7 */    424,   2232,   3470,   4995,   5742,   8114,   9218, 
/* msg =   4795, deg =  7 */   1618,   2230,   4681,   5487,   6161,   7641,   9386, 
/* msg =   4796, deg =  7 */   1221,   3037,   4973,   5306,   6549,   6936,   9576, 
/* msg =   4797, deg =  7 */   1297,   2899,   4491,   5852,   6626,   8306,   9381, 
/* msg =   4798, deg =  7 */   1283,   2689,   4187,   6097,   6253,   8029,   9930, 
/* msg =   4799, deg =  7 */    792,   2901,   4621,   5753,   6233,   8174,   9708, 
/* msg =   4800, deg =  7 */    764,   1670,   4589,   5384,   5552,   6693,   9569, 
/* msg =   4801, deg =  7 */    861,   2333,   3864,   5838,   5928,   7917,   9249, 
/* msg =   4802, deg =  7 */    684,   1991,   4551,   5210,   6277,   7611,   9150, 
/* msg =   4803, deg =  7 */   1182,   2387,   4062,   5514,   5801,   7095,   9648, 
/* msg =   4804, deg =  7 */    604,   3011,   3772,   5239,   6627,   8226,   9635, 
/* msg =   4805, deg =  7 */   1454,   1811,   4514,   5814,   5956,   8050,   9175, 
/* msg =   4806, deg =  7 */    852,   2820,   4921,   6227,   6430,   7679,   9900, 
/* msg =   4807, deg =  7 */    916,   1731,   3458,   5660,   5854,   8234,   9888, 
/* msg =   4808, deg =  7 */    584,   2455,   3855,   5544,   5996,   7698,   9425, 
/* msg =   4809, deg =  7 */   1606,   2841,   3961,   5311,   5717,   6703,   9254, 
/* msg =   4810, deg =  7 */    592,   2559,   3867,   6162,   6211,   7604,   9298, 
/* msg =   4811, deg =  7 */    526,   2947,   3810,   5027,   6146,   7841,   9786, 
/* msg =   4812, deg =  7 */    468,   2501,   4221,   5759,   6434,   7135,   9179, 
/* msg =   4813, deg =  7 */   1408,   2270,   4110,   5714,   6084,   7164,   9577, 
/* msg =   4814, deg =  7 */   1326,   2860,   3384,   5190,   6306,   7024,   9430, 
/* msg =   4815, deg =  7 */    579,   2313,   3618,   5130,   5302,   8212,   9642, 
/* msg =   4816, deg =  7 */    391,   1864,   3866,   6437,   6470,   6759,   9778, 
/* msg =   4817, deg =  7 */    339,   2191,   3468,   5444,   5639,   6733,   9490, 
/* msg =   4818, deg =  7 */      1,   2149,   4618,   6202,   6442,   7483,   9704, 
/* msg =   4819, deg =  7 */    892,   3273,   4494,   5226,   5471,   7717,   9339, 
/* msg =   4820, deg =  7 */    924,   2638,   4191,   5785,   6235,   7946,   9813, 
/* msg =   4821, deg =  7 */   1124,   2414,   4215,   5690,   5958,   7567,   9375, 
/* msg =   4822, deg =  7 */    962,   2475,   3640,   5366,   6513,   7595,   9724, 
/* msg =   4823, deg =  7 */    578,   3266,   3860,   5292,   6514,   8301,   9904, 
/* msg =   4824, deg =  7 */   1405,   1869,   3620,   5365,   6368,   7996,   9292, 
/* msg =   4825, deg =  7 */      4,   2458,   4747,   5855,   6077,   7734,   9834, 
/* msg =   4826, deg =  7 */   1304,   2256,   4189,   5760,   6073,   7982,   9221, 
/* msg =   4827, deg =  7 */     19,   2946,   4532,   5019,   5663,   7252,   9817, 
/* msg =   4828, deg =  7 */   1264,   2560,   4850,   5231,   6562,   8293,   9649, 
/* msg =   4829, deg =  7 */    474,   1831,   3504,   5573,   6360,   6763,   9920, 
/* msg =   4830, deg =  7 */    172,   3300,   3840,   5833,   6525,   7270,   9384, 
/* msg =   4831, deg =  7 */    907,   2198,   4457,   5768,   6556,   7844,   9684, 
/* msg =   4832, deg =  7 */   1612,   1994,   3369,   5359,   5633,   7706,   9406, 
/* msg =   4833, deg =  7 */    146,   2706,   4804,   5549,   6434,   7770,   9341, 
/* msg =   4834, deg =  7 */    309,   2054,   4313,   5288,   5700,   7392,   9401, 
/* msg =   4835, deg =  7 */    252,   2003,   3813,   6261,   6442,   8042,   9629, 
/* msg =   4836, deg =  7 */    328,   3164,   3519,   5500,   5766,   7902,   9572, 
/* msg =   4837, deg =  7 */   1488,   2764,   4840,   5457,   5508,   7354,   9647, 
/* msg =   4838, deg =  7 */    688,   1908,   4251,   5685,   6362,   8090,   9602, 
/* msg =   4839, deg =  7 */    859,   3010,   4181,   6028,   6465,   8178,   9451, 
/* msg =   4840, deg =  7 */   1061,   2813,   4484,   4992,   5083,   7117,   9852, 
/* msg =   4841, deg =  7 */   1375,   2679,   3495,   5674,   5738,   8051,   9723, 
/* msg =   4842, deg =  7 */     81,   1926,   3602,   6052,   6164,   7759,   9317, 
/* msg =   4843, deg =  7 */   1016,   2765,   4709,   5225,   6409,   6811,   9546, 
/* msg =   4844, deg =  7 */    227,   2910,   4887,   5977,   6463,   6955,   9718, 
/* msg =   4845, deg =  7 */    527,   3006,   4977,   5681,   6269,   7788,   9884, 
/* msg =   4846, deg =  7 */   1591,   2480,   3878,   5819,   6250,   8222,   9910, 
/* msg =   4847, deg =  7 */    804,   1679,   4394,   5431,   5815,   8137,   9725, 
/* msg =   4848, deg =  7 */   1262,   2605,   4098,   5411,   5576,   7361,   9462, 
/* msg =   4849, deg =  7 */   1302,   3275,   4043,   5710,   6384,   7134,   9756, 
/* msg =   4850, deg =  7 */   1389,   3077,   4084,   6207,   6329,   6718,   9327, 
/* msg =   4851, deg =  7 */    307,   2408,   3521,   6443,   6623,   7527,   9182, 
/* msg =   4852, deg =  7 */    967,   2704,   4741,   5822,   6053,   7623,   9427, 
/* msg =   4853, deg =  7 */   1627,   2886,   3649,   5907,   6194,   6661,   9262, 
/* msg =   4854, deg =  7 */     35,   1889,   4137,   5081,   6476,   8233,   9735, 
/* msg =   4855, deg =  7 */    293,   3261,   4015,   6370,   6630,   7965,   9971, 
/* msg =   4856, deg =  7 */   1502,   3259,   3728,   5086,   5413,   7395,   9954, 
/* msg =   4857, deg =  7 */   1000,   3156,   3801,   5738,   6517,   7183,   9935, 
/* msg =   4858, deg =  7 */    780,   1874,   3382,   6195,   6605,   7041,   9560, 
/* msg =   4859, deg =  7 */   1301,   2542,   4911,   5962,   6206,   7601,   9526, 
/* msg =   4860, deg =  7 */    117,   2817,   4147,   5332,   5630,   7520,   9734, 
/* msg =   4861, deg =  7 */    103,   2697,   4510,   5734,   6371,   8203,   9146, 
/* msg =   4862, deg =  7 */    614,   3159,   3690,   4990,   5947,   8123,   9502, 
/* msg =   4863, deg =  7 */     12,   2660,   4742,   5089,   5171,   7617,   9167, 
/* msg =   4864, deg =  7 */     56,   3178,   3328,   5178,   5870,   7223,   9433, 
/* msg =   4865, deg =  7 */    524,   3312,   4029,   5602,   6215,   6690,   9232, 
/* msg =   4866, deg =  7 */   1630,   2738,   3497,   5133,   5152,   7006,   9840, 
/* msg =   4867, deg =  7 */   1064,   2495,   4483,   5571,   6403,   7492,   9393, 
/* msg =   4868, deg =  7 */   1587,   2210,   4112,   5400,   6640,   7888,   9284, 
/* msg =   4869, deg =  7 */    753,   2997,   3975,   5384,   5532,   7547,   9265, 
/* msg =   4870, deg =  7 */    455,   2968,   3457,   5635,   5805,   6903,   9654, 
/* msg =   4871, deg =  7 */    713,   1979,   4185,   5523,   6511,   7807,   9865, 
/* msg =   4872, deg =  7 */   1521,   2106,   4214,   5192,   5348,   7562,   9882, 
/* msg =   4873, deg =  7 */   1153,   3235,   4649,   5684,   6407,   7364,   9953, 
/* msg =   4874, deg =  7 */    509,   2409,   3428,   4993,   5416,   7862,   9845, 
/* msg =   4875, deg =  7 */    602,   2454,   4756,   5279,   5933,   8107,   9901, 
/* msg =   4876, deg =  7 */   1096,   3238,   4135,   5761,   5867,   7293,   9607, 
/* msg =   4877, deg =  7 */   1355,   2801,   3963,   5922,   6359,   7603,   9247, 
/* msg =   4878, deg =  7 */    269,   2229,   3499,   5627,   6313,   7138,   9448, 
/* msg =   4879, deg =  7 */    435,   1863,   3967,   5266,   5904,   7414,   9686, 
/* msg =   4880, deg =  7 */   1194,   2162,   3626,   5048,   5575,   7808,   9877, 
/* msg =   4881, deg =  7 */    170,   2451,   3706,   5082,   6136,   7837,   9699, 
/* msg =   4882, deg =  7 */    925,   2858,   3387,   6069,   6302,   6979,   9293, 
/* msg =   4883, deg =  7 */      8,   1703,   4229,   6279,   6461,   6923,   9280, 
/* msg =   4884, deg =  7 */   1494,   2725,   4160,   6217,   6604,   8290,   9302, 
/* msg =   4885, deg =  7 */   1388,   2207,   4207,   5987,   6421,   8022,   9916, 
/* msg =   4886, deg =  7 */   1098,   2657,   4092,   5228,   5988,   6866,   9332, 
/* msg =   4887, deg =  7 */    165,   1893,   3987,   6553,   6583,   7886,   9207, 
/* msg =   4888, deg =  7 */   1165,   2636,   4817,   5149,   6307,   7100,   9694, 
/* msg =   4889, deg =  7 */   1398,   2769,   4259,   5246,   5288,   6729,   9513, 
/* msg =   4890, deg =  7 */    483,   2238,   4775,   5509,   6177,   7181,   9422, 
/* msg =   4891, deg =  7 */    402,   2976,   3356,   6511,   6571,   7456,   9554, 
/* msg =   4892, deg =  7 */   1515,   3039,   4052,   5432,   6361,   7011,   9449, 
/* msg =   4893, deg =  7 */    226,   2442,   4935,   5047,   5433,   8284,   9948, 
/* msg =   4894, deg =  7 */   1163,   2461,   4255,   5004,   6444,   6714,   9366, 
/* msg =   4895, deg =  7 */   1619,   2286,   3715,   5388,   5629,   6835,   9826, 
/* msg =   4896, deg =  7 */   1195,   2563,   4694,   5321,   5446,   7940,   9520, 
/* msg =   4897, deg =  7 */   1130,   3118,   3436,   5040,   5851,   7386,   9443, 
/* msg =   4898, deg =  7 */   1599,   3114,   3467,   5972,   6016,   7689,   9613, 
/* msg =   4899, deg =  7 */     70,   2436,   4120,   5004,   5664,   7389,   9573, 
/* msg =   4900, deg =  7 */   1072,   1877,   4354,   5832,   6311,   7801,   9281, 
/* msg =   4901, deg =  7 */   1540,   3150,   3494,   5983,   6121,   7785,   9630, 
/* msg =   4902, deg =  7 */    816,   2407,   3544,   5692,   6102,   8241,   9203, 
/* msg =   4903, deg =  7 */   1161,   2720,   4900,   5273,   6002,   7977,   9766, 
/* msg =   4904, deg =  7 */    991,   2606,   4391,   5673,   5746,   6859,   9518, 
/* msg =   4905, deg =  7 */    746,   1732,   4058,   4999,   6481,   7125,   9886, 
/* msg =   4906, deg =  7 */    374,   1857,   4579,   5127,   5700,   7397,   9873, 
/* msg =   4907, deg =  7 */    858,   2283,   4095,   5438,   6050,   7861,   9147, 
/* msg =   4908, deg =  7 */    811,   2562,   4456,   5158,   6288,   7069,   9588, 
/* msg =   4909, deg =  7 */     91,   2570,   4335,   5263,   5304,   8151,   9230, 
/* msg =   4910, deg =  7 */    809,   1795,   3995,   5982,   6548,   6906,   9288, 
/* msg =   4911, deg =  7 */   1365,   2105,   3585,   5203,   6376,   7723,   9963, 
/* msg =   4912, deg =  7 */    360,   1683,   4567,   6049,   6521,   8092,   9771, 
/* msg =   4913, deg =  7 */     64,   2267,   3327,   5177,   5245,   7721,   9705, 
/* msg =   4914, deg =  7 */   1536,   2088,   4204,   5235,   6289,   7104,   9537, 
/* msg =   4915, deg =  7 */    426,   1715,   4818,   5199,   5328,   7430,   9543, 
/* msg =   4916, deg =  7 */    204,   3173,   4859,   5439,   6066,   7563,   9740, 
/* msg =   4917, deg =  7 */    818,   3215,   4406,   6535,   6574,   6807,   9215, 
/* msg =   4918, deg =  7 */   1220,   2273,   4810,   5280,   5352,   8217,   9328, 
/* msg =   4919, deg =  7 */   1436,   2993,   4845,   5269,   5434,   7948,   9482, 
/* msg =   4920, deg =  7 */   1516,   2353,   4291,   6317,   6448,   7691,   9458, 
/* msg =   4921, deg =  7 */    835,   3057,   4586,   6056,   6122,   7455,   9268, 
/* msg =   4922, deg =  7 */    679,   2163,   4547,   5500,   5905,   8005,   9862, 
/* msg =   4923, deg =  7 */   1354,   2050,   4970,   5775,   5972,   6944,   9759, 
/* msg =   4924, deg =  7 */    489,   2290,   4362,   6400,   6410,   8305,   9814, 
/* msg =   4925, deg =  7 */   1481,   2780,   4176,   6493,   6597,   8188,   9421, 
/* msg =   4926, deg =  7 */    798,   2465,   3438,   5088,   5752,   7229,   9636, 
/* msg =   4927, deg =  7 */   1560,   2793,   4555,   5524,   6155,   7545,   9875, 
/* msg =   4928, deg =  7 */    141,   2574,   4821,   5749,   6431,   8038,   9205, 
/* msg =   4929, deg =  7 */    241,   2418,   3677,   5641,   5781,   6776,   9407, 
/* msg =   4930, deg =  7 */    662,   2907,   4069,   5537,   6395,   7368,   9334, 
/* msg =   4931, deg =  7 */   1235,   2585,   4978,   6021,   6594,   7180,   9808, 
/* msg =   4932, deg =  7 */    388,   3246,   3341,   5928,   5951,   8108,   9220, 
/* msg =   4933, deg =  7 */    168,   2986,   3628,   4998,   6028,   7498,   9154, 
/* msg =   4934, deg =  7 */   1216,   3065,   3474,   5139,   5724,   6958,   9805, 
/* msg =   4935, deg =  7 */    639,   2627,   4646,   5402,   6064,   7988,   9672, 
/* msg =   4936, deg =  7 */    581,   1983,   3377,   5460,   5898,   7479,   9925, 
/* msg =   4937, deg =  7 */    729,   2145,   4311,   5553,   5908,   8133,   9924, 
/* msg =   4938, deg =  7 */    433,   2508,   3398,   5050,   5061,   8182,   9377, 
/* msg =   4939, deg =  7 */   1271,   2746,   4357,   6278,   6293,   7398,   9370, 
/* msg =   4940, deg =  7 */    899,   2301,   3346,   5692,   5736,   6716,   9549, 
/* msg =   4941, deg =  7 */    384,   1946,   3484,   5853,   6481,   6783,   9200, 
/* msg =   4942, deg =  7 */    836,   3063,   4814,   5186,   5448,   7312,   9442, 
/* msg =   4943, deg =  7 */    519,   3023,   4007,   6095,   6608,   8256,   9632, 
/* msg =   4944, deg =  7 */   1392,   1941,   4088,   6034,   6072,   7566,   9615, 
/* msg =   4945, deg =  7 */     16,   2576,   3630,   5796,   6515,   8278,   9601, 
/* msg =   4946, deg =  7 */    166,   2216,   3712,   6063,   6287,   7060,   9204, 
/* msg =   4947, deg =  7 */    817,   2241,   4946,   5386,   5696,   7148,   9454, 
/* msg =   4948, deg =  7 */    681,   3149,   3330,   5219,   5435,   8006,   9859, 
/* msg =   4949, deg =  7 */    470,   2995,   3477,   5572,   5979,   7606,   9223, 
/* msg =   4950, deg =  7 */   1029,   1787,   4314,   5953,   6226,   6758,   9241, 
/* msg =   4951, deg =  7 */    127,   2902,   4667,   5067,   5825,   8120,   9603, 
/* msg =   4952, deg =  7 */   1217,   2236,   4967,   4989,   5691,   7780,   9208, 
/* msg =   4953, deg =  7 */   1427,   2554,   3798,   5038,   6609,   6794,   9547, 
/* msg =   4954, deg =  7 */   1444,   2492,   4624,   6012,   6229,   7938,   9301, 
/* msg =   4955, deg =  7 */    197,   2397,   4891,   5097,   6453,   6809,   9277, 
/* msg =   4956, deg =  7 */   1483,   2584,   4619,   5901,   6530,   7646,   9464, 
/* msg =   4957, deg =  7 */    318,   2467,   4238,   5627,   6476,   8097,   9790, 
/* msg =   4958, deg =  7 */   1028,   2368,   3672,   6072,   6388,   7486,   9755, 
/* msg =   4959, deg =  7 */    906,   2598,   3489,   5687,   6390,   7907,   9483, 
/* msg =   4960, deg =  7 */    732,   2693,   3491,   5892,   6505,   7941,   9730, 
/* msg =   4961, deg =  7 */     97,   2202,   3364,   6174,   6310,   7271,   9211, 
/* msg =   4962, deg =  7 */   1341,   1837,   3621,   5047,   5315,   8141,   9349, 
/* msg =   4963, deg =  7 */    872,   3166,   4195,   6007,   6044,   7464,   9256, 
/* msg =   4964, deg =  7 */    160,   1673,   3988,   5125,   5309,   7739,   9333, 
/* msg =   4965, deg =  7 */    615,   3268,   3529,   5283,   6286,   6863,   9170, 
/* msg =   4966, deg =  7 */   1042,   1736,   3670,   5344,   5903,   6873,   9912, 
/* msg =   4967, deg =  7 */   1113,   3220,   4529,   5258,   5861,   7631,   9880, 
/* msg =   4968, deg =  7 */    845,   2762,   4860,   5662,   6113,   7019,   9509, 
/* msg =   4969, deg =  7 */    955,   2620,   4856,   5370,   5481,   7443,   9143, 
/* msg =   4970, deg =  7 */    406,   3282,   4205,   5322,   6588,   7484,   9627, 
/* msg =   4971, deg =  7 */   1317,   1771,   3844,   5772,   6335,   7084,   9540, 
/* msg =   4972, deg =  7 */   1328,   2773,   4174,   5613,   6425,   7685,   9402, 
/* msg =   4973, deg =  7 */    776,   2977,   4868,   5149,   6282,   6762,   9600, 
/* msg =   4974, deg =  7 */    284,   2468,   4761,   5211,   6639,   7614,   9194, 
/* msg =   4975, deg =  7 */    349,   2043,   3896,   5459,   6057,   7419,   9835, 
/* msg =   4976, deg =  7 */   1448,   2346,   4879,   5981,   6588,   8026,   9367, 
/* msg =   4977, deg =  7 */   1095,   2518,   3339,   5565,   5796,   6901,   9359, 
/* msg =   4978, deg =  7 */    403,   2150,   3542,   5163,   5856,   7122,   9336, 
/* msg =   4979, deg =  7 */    537,   2750,   4108,   5549,   6500,   7427,   9405, 
/* msg =   4980, deg =  7 */    186,   2588,   3707,   6216,   6602,   7852,   9933, 
/* msg =   4981, deg =  7 */   1224,   1794,   4831,   5251,   6539,   8173,   9605, 
/* msg =   4982, deg =  7 */    901,   1711,   3597,   5114,   6613,   7871,   9782, 
/* msg =   4983, deg =  7 */    105,   2731,   3709,   5622,   5669,   8124,   9857, 
/* msg =   4984, deg =  7 */   1325,   2257,   4465,   6094,   6334,   6964,   9452, 
/* msg =   4985, deg =  7 */    159,   1958,   3461,   5334,   5491,   6841,   9559
};

